1. What is the magnitude of the resultant force of the two forces which are
perpendicular to each other? The two forces are 20 units and 30 units
respectively.
- A. 36
- B. 42
- C. 25
- D. 40
- Answer: A. 36
2. A rope is stretched between two rigid walls 40 feet apart. At the midpoint, a
load of 100 lbs was placed that caused it to sag 5 feet. Compute the
approximate tension in the rope.
- A. 206 lbs
- B. 150 lbs
- C. 280 lbs
- D. 240 lbs
- Answer: A. 206 lbs
3. What is the effective component applied on the box that is being pulled by
a 30 N force inclined at 30 degrees with horizontal?
- A. 36.21 N
- B. 25.98 N
- C. 15.32 N
- D. 20.62 N
- Answer: B. 25.98 N
4. A post is supported by a guy wire which exerts a pull of 100 N on the top of
the post. If the angle between the wire and the ground is 60 degrees, what is
the horizontal component of the force supporting the pole?
- A. 86.6 N
- B. 50.0 N
- C. 76.6 N
- D. 98.5 N
- Answer: B. 50.0 N
5. The resultant of two forces in a plane is 400 N at 120 degrees. If one of the
forces is 200 lbs at 20 degrees what is the other force?
- A. 347.77 N at 114.85 degrees
- B. 435.77 N at 104.37 degrees
- C. 357.56 N at 114.24 degrees
- D. 477.27 N at 144.38 degrees
- Answer: D. 477.27 N
6. Determine the resultant of the following forces: A = 600 N at 40 degrees, B
= 800 N at 160 degrees and C = 200 N at 300 degrees.
- A. 532.78 N, 55.32 degrees
- B. 435.94 N, 235.12 degrees
- C. 522.68 N, 111.57 degrees
- D. 627.89 N, 225.81 degrees
- Answer: C. 522.68 N, 111.57 degrees
7. A collar, which may slide on a vertical rod is subjected three forces. Force A
is 1200 N vertically upward, Force B is 800 N at an angle of 60 degrees from
the vertical and a force F which is vertically downward to the right. Find the
direction of F if its magnitude is 2400 N and the resultant is horizontal.
- A. 41.61 degrees
- B. 43.52 degrees
- C. 40.13 degrees
- D. 45.52 degrees
- Answer: A. 41.61 degrees
8. Given the 3-dimensional vectors: A = i(xy) + j(2yz) + k(3zx) and B = i(yz) +
j(2zx) + k(3xy). Determine the scalar product at the point (1,2,3).
- A. 144
- B. 138
- C. 132
- D. 126
- Answer: B. 138
9. Determine the divergence of the vector: V = i(x2) + j(-xy) + k(xyz) at the
point (3,2,1).
- A. 9.00
- B. 11.00
- C. 13.00
- D. 7.00
- Answer: A. 9.00
10. The three vectors described by 10 cm/ at 120k degrees, k = 0, 1, 2
encompass the sides of an equilateral triangle. Determine the magnitude of
the vector cross product: 0.5 [ (10/ at 0 deg) x (10/ at 120 deg) ].
- A. 86.6
- B. 25.0
- C. 50.0
- D. 43.3
- Answer: D. 43.3
**11:** The 5 vectors: 10 cm/ at 72k degrees, k = 0, 1, 2, 3, 4 encompass the
sides of a regular pentagon. Determine the magnitude of the vector cross
product: 2.5 [ (10/ at 144 deg) x (10/ at 216 deg) ].
A. 198.1
B. 237.7
C. 285.2
D. 165.1
**Answer:** Option B
**12:** What is the angle between two vectors A and B if A = 4i – 12j + 6k and
B = 24i – 8j + 6k?
A. 168.45 degrees
B. 84.32 degrees
C. 86.32 degrees
D. -84.64 degrees
**Answer:** Option B
**13:** Given the 3-dimensional vectors : A = i (xy) + j (2yz) + k (3zx), B = i (yz)
+ j (2zx) + k (3xy). Determine the magnitude of the vector sum |A + B| at
coordinates (3,2,1).
A. 32.92
B. 29.88
C. 27.20
D. 24.73
**Answer:** Option B
**14:** What is the cross product A x B of the vectors, A = I + 4j + 6k and B =
2i + 3j + 5k ?
A. i – j – k
B. –i + j+ k
C. 2i + 7j – 5k
D. 2i + 7j + 5k
**Answer:** Option C
**15:** A simply supported beam is five meters in length. It carries a uniformly
distributed load including its own weight of 300 N/m and a concentrated load
of 100 N, 2 meters from the left end. Find the reactions if reaction A at the left
end and reaction B at the right end.
A. RA = 810 N, RB = 700 N
B. RA = 820 N, RB = 690 N
C. RA = 830 N, RB = 680 N
D. RA = 840 N, RB = 670 N
**Answer:** Option A
**16:** A man can exert a maximum pull of 1,000 N but wishes to lift a new
stone door for his cave weighing 20,000 N. If he uses a lever how much closer
must the fulcrum be to the stone than to his hand?
A. 10 times nearer
B. 20 times farther
C. 10 times farther
D. 20 times nearer
**Answer:** Option D
**17:** A certain cable is suspended between two supports at the same
elevation and 500 ft apart. The load is 500 lbs per horizontal foot including the
weight of the cable. The sag of the cable is 30 ft. Calculate the total length of
the cable.
A. 503.21 ft
B. 504.76 ft
C. 505.12 ft
D. 506.03 ft
**Answer:** Option B
**18:** The weight of a transmission cable is 1.5 kg/m distributed horizontally.
If the maximum safe tension of the cable is 60000 kg and the allowable sag is
30 m, determine the horizontal distance between the electric posts supporting
the transmission cable.
A. 897 m
B. 926 m
C. 967 m
D. 976 m
**Answer:** Option D
**19:** A cable 45.5 m long is carrying a uniformly distributed load along its
span. If the cable is strung between two posts at the same level, 40 m apart,
compute the smallest value that the cable may sag.
A. 12.14 m
B. 10.12 m
C. 9.71 m
D. 8.62 m
**Answer:** Option C
**20:** A pipeline crossing a river is suspended from a steel cable stretched
between two posts 100 m apart. The weight of the pipe is 14 kg/m while the
cable weighs 1 kg/m assumed to be uniformly distributed horizontally. If the
allowed sag is 2 m, determine the tension of the cable at the post.
A. 9047.28 kg
B. 9404.95 kg
C. 9545.88 kg
D. 9245.37 kg
**Answer:** Option B
**21:** The distance between supports of a transmission cable is 20 m apart.
The cable is loaded with a uniformly distributed load of 20 kN/m throughout
its span. The maximum sag of the cable is 4 m. What is the maximum tension
of the cable if one of the supports is 2 meters above the other?
A. 415.53 N
B. 413.43 N
C. 427.33 N
D. 414.13 N
**Answer:** Option A
**22:** A cable weighing 0.4 pound per foot and 800 feet long is to be
suspended with sag of 80 feet. Determine the maximum tension of the cable.
A. 403 kg
B. 456 kg
C. 416 kg
D. 425 kg
**Answer:** Option C
**23:** A cable 200 m long weighs 50 N/m and is supported from two points
at the same elevation. Determine the required sag if the maximum tension
that the cable can carry shall not exceed 8000 N.
A. 35.1 m
B. 28.2 m
C. 40.3 m
D. 31.3 m
**Answer:** Option A
**24:** A transmission cable 300 m long, weighs 600 kg. The tensions at the
ends of the cable are 400 kg and 450 kg. Find the distance of its lowest point
to the ground.
A. 145 m
B. 148 m
C. 150 m
D. 153 m
**Answer:** Option C
**25:** A 250 kg block rests on a 30 degrees plane. If the coefficient of kinetic
friction is 0.20, determine the horizontal force P applied on the block to start
the block moving up the plane.
A. 59.30 kg
B. 58.10 kg
C. 219.71 kg
D. 265.29 kg
**Answer:** Option C
**26:** Compute the number of turns of the rope to be wound around a pole
in order to support a man weighing 600 N with an input force of 10 N. Note:
coefficient of friction is 0.30.
A. 2.172
B. 3.123
C. 1.234
D. 4.234
**Answer:** Option A
**27:** A block weighing 500 N is held by a rope that passes over a horizontal
drum. The coefficient of friction between the rope and the drum is 0.15. If the
angle of contact is 150 degrees, compute the force that will raise the object.
A. 740.7 N
B. 760.6 N
C. 770.5 N
D. 780.8 N
**Answer:** Option A
**28:** A circle has a diameter of 20 cm. Determine the moment of inertia of
the circular area relative to the axis perpendicular to the area though the
center of the circle in cm4.
A. 14,280
B. 15,708
C. 17,279
D. 19,007
**Answer:** Option B
**29:** What is the branch of engineering mechanics which refers to the study
of stationary rigid body?
A. Statics
B. Kinetics
C. Kinematics
D. Dynamics
**Answer:** Option A
**30:** What is the branch of engineering mechanics which refers to the study
of rigid body in motion under the action of forces?
A. Statics
B. Strength of materials
C. Kinematics
D. Dynamics
**Answer:** Option D
**31:** What is the branch of engineering mechanics which refers to the study
of rigid body in motion without reference to the force that causes the motion?
A. Statics
B. Kinetics
C. Kinematics
D. Dynamics
**Answer:** Option C
**32:** What refers to the force that holds part of the rigid body together?
A. Natural force
B. External force
C. Internal force
D. Concentrated force
**Answer:** Option C
**33:** What refers to a pair of equal, opposite and parallel forces?
A. Couple
B. Moment
C. Torque
D. All of the above
**Answer:** Option A
**34:** What is a concurrent force system?
A. All forces act at the same point.
B. All forces have the same line of action.
C. All forces are parallel with one another.
D. All forces are in the same plane.
**Answer:** Option A
**35:** When will a three-force member be considered in equilibrium?
A. When the sum of the two forces is equal to the third force.
B. When they are concurrent or parallel.
C. When they are coplanar.
D. All of the above
**Answer:** Option B
**36:** A roller support has how many reactions?
A. None
B. 1
C. 2
D. 3
**Answer:** Option B
**37:** A link or cable support has how many reactions?
A. None
B. 1
C. 2
D. 3
**Answer:** Option B
**38:** A build-in, fixed support has how many reactions and moment?
A. 1 reaction and 1 moment
B. 2 reactions and 1 moment
C. 1 reaction and 2 moments
D. 2 reactions and no moment
**Answer:** Option B
**39:** Which support has one moment?
A. Frictionless guide
B. Pin connection
C. Fixed support
D. Roller
**Answer:** Option C
**40:** What is the science that describes and predicts the effect on bodies at
rest or in motion by forces acting on it?
A. Engineering Mechanics
B. Theory of Structures
C. Mechanics of Materials
D. Strength of Materials
**Answer:** Option A
**41:** What refers to a negligible body when compared to the distances
involved regarding its motion?
A. Particle
B. Atomic substance
C. Element
D. Quarks
**Answer:** Option A
**42:** The resulting force of a distributed load is always acting at:
A. the center of the beam subjected to the distributed load
B. the centroid of the area of the loading curve
C. the 1/3 point from the higher intensity side of the loading curve
D. the 2/3 point from the higher intensity side of the loading curve
**Answer:** Option B
**43:** The resultant force of a distributed load is always equal to:
A. twice the area under the loading curve
B. half the area under the loading curve
C. the area under the loading curve
D. one-fourth the area under the loading curve
**Answer:** Option C
**44:** When a body has more supports than are necessary to maintain
equilibrium, the body is said to be _____.
A. in static equilibrium
B. in dynamic equilibrium
C. statically determine
D. statically indeterminate
**Answer:** Option A
**45:** When does an equation be considered “dimensionally homogeneous”?
A. When it is unitless
B. When the dimensions of the various terms on the left side of the equation
are not the same as the dimensions of the various terms on the right side.
C. When the degree of the left side of the equation is the same as the right
side.
D. When the dimensions of various terms on the left side of the equation are
the same as the dimensions of the various terms on the right side.
**Answer:** Option D
**46:** What refers to the branch of mathematics which deals with the
dimensions of quantities?
A. Unit analysis
B. Dimensional analysis
C. System analysis
D. Homogeneity analysis
**Answer:** Option B
**47:** What is a “simple beam”?
A. A beam supported only at its ends.
B. A beam supported with a fixed support at one end and none on the other
end.
C. A beam with more than two supports.
D. A beam with only one support at the midspan.
**Answer:** Option A
**48:** What assumption is used in the analysis of uniform flexible cable?
A. Cable is flexible.
B. Cable is inextensible.
C. The weight of the cable is very small when compared to the loads
supported by the cable.
D. All of the above
**Answer:** Option D
**49:** “The sum of individual moments about a point caused by multiple
concurrent forces is equal to the moment of the resultant force about the
same point”. This statement is known as ______.
A. Pappus proposition
B. D’ Alembert’s principle
C. Varignon’s theorem
D. Newton’s method
**Answer:** Option C
**50:** “Two forces acting on a particle may be replaced by a single force
called resultant which can be obtained by drawing the diagonal of
parallelogram, which has the sides equal to the given forces”. This statement is
known as _______.
A. Pappus Propositions
B. Principle of Transmissibility
C. Parallelogram Law
D. Varignon’s Theorem
**Answer:** Option C
51. “The condition of equilibrium or motion of a rigid body remains
unchanged if a force acting at a given point of the rigid body is replaced by a
force of the same magnitude and direction, but acting at a different point
provided that the two forces have the same line of action”. This statement is
known as ______.
A. Pappus Propositions
B. Principle of Transmissibility
C. Parallelogram Law
D. Varignon’s Theorem
**Answer:** Option B
52. “If two forces acting simultaneously on a particle can be represented by
the two sides of a triangle taken in order that the third side represents the
resultant in the opposite order”. This statement is known as ______.
A. Principle of Transmissibility
B. Parallelogram Law
C. Varignon’s Theorem
D. Triangle Law of Forces
**Answer:** Option D
53. “If a number of concurrent forces acting simultaneously on a particle are
represented in magnitude and direction by the sides of a polygon taken in
order, then the resultant of this system of forces is represented by the closing
side of the polygon in the opposite order”. This statement is known as _____.
A. Principle of Transmissibility
B. Parallelogram Law
C. Polygon Law
D. Triangle Law of Forces
**Answer:** Option C
54. A beam with more than one supports is called ______.
A. cantilever beam
B. simple beam
C. complex beam
D. continuous beam
**Answer:** Option D
55. A truss consisting of coplanar members is called _____.
A. plane truss
B. space truss
C. ideal truss
D. rigid truss
**Answer:** Option A
56. A truss consisting of non-coplanar members is called ______.
A. plane truss
B. space truss
C. ideal truss
D. rigid truss
**Answer:** Option B
57. What method of determining the bar force of a truss if only a few
members are required?
A. Methods of joints
B. Method of section
C. Maxwell’s diagram
D. Method of superposition
**Answer:** Option B
58. Which of the following statements about friction is FALSE?
A. The direction of the frictional force on a surface is such as to oppose the
tendency of one surface to slide relative to the other.
B. The total frictional force is dependent on the area of contact between the
two surfaces.
C. The magnitude of the frictional force is equal to the force which tends to
move the body till the limiting value is reached.
D. Friction force is always less than the force required to prevent motion.
**Answer:** Option B
59. In the analysis of friction, the angle between the normal force and the
resultant force _____ the angle of friction.
A. may be greater than or less than
B. is greater than
C. is less than
D. is equal to
**Answer:** Option C
60. When a block is placed on an inclined plane, its steepest inclination to
which the block will be in equilibrium is called _______.
A. angle of friction
B. angle of reaction
C. angle of normal
D. angle of repose
**Answer:** Option D
61. What is usually used to move heavy loads by applying a force which is
usually smaller than the weight of the load?
A. Axle
B. Incline plane
C. Wedge
D. Belt
**Answer:** Option C
62. The angle of the inclined plane of a jack screw is also known as _______.
A. angle of thread
B. angle of lead
C. angle of friction
D. angle of pitch
**Answer:** Option B
63. Center of gravity for a two-dimensional body is the point at which the
entire _____ acts regardless of the orientation of the body.
A. mass
B. weight
C. mass or weight
D. volume
**Answer:** Option B
64. Second moment of area is the product of:
A. area and square of the distance from the reference axis
B. area and distance from the reference axis
C. square of the area and distance from the reference axis
D. square of the area and square of the distance from the reference axis
**Answer:** Option A
65. Moment of inertia of an area about an axis is equal to the sum of the
moment of inertia about an axis passing through the centroid parallel to the
given axis and _______.
A. area and square of the distance between two parallel axes
B. area and distance between two parallel axes
C. square of the area and distance between two parallel axes
D. square of the area and square of the distance between two parallel axes
**Answer:** Option A
66. What is the unit of mass moment of inertia?
A. kg-m^4
B. kg-m^3
C. kg-m
D. kg-m^2
**Answer:** Option D
Sure, here are the questions from 67 to 80 along with their final answers:
67. The number of independent degrees of freedom is:
A. Square root of the square of the difference of total degrees of freedom –
number of constrain equations
B. Square root of the total degrees of freedom – number of constrain
equations
C. Total degrees of freedom – number of constrain equations
D. Total degrees of freedom – half the number of constrain equations
**Answer:** Option C
68. What velocity is normally referred to as the derivative of the position
vector with respect to time?
A. Decreasing velocity
B. Average velocity
C. Instantaneous velocity
D. Increasing velocity
**Answer:** Option C
69. What refers to a force by which work done on a particle as it moves
around any closed path is zero?
A. Natural force
B. Virtual force
C. Conservative force
D. Non-conservative force
**Answer:** Option C
70. When a force causes a change in mechanical energy when it moves around
a closed path, it is said to be ______ force.
A. natural
B. virtual
C. conservative
D. non-conservative
**Answer:** Option D
71. The following are quantities that describe motion and use Newton’s law of
motion and d’Alembert’s principle except one. Which one?
A. Time
B. Mass
C. Acceleration
D. Force
**Answer:** Option A
72. Which of the following set of quantities describes motion and uses the
principle of work and energy?
A. Force, mass, velocity, time
B. Force, mass, acceleration
C. Force, mass, distance, velocity
D. Force, weight, distance, time
**Answer:** Option C
73. Which of the following set of quantities describes motion and uses the
principle of impulse and momentum?
A. Force, mass, velocity, time
B. Force, mass, distance, velocity
C. Force, mass, distance, velocity
D. Force, weight, distance, time
**Answer:** Option A
74. The principles of kinetics of particles are derived from which law?
A. Newton’s first law
B. Newton’s second law
C. Newton’s third law
D. d’Alembert’s principle
**Answer:** Option B
75. What type of impact is when the motion of one or both of the colliding
bodies is not directed along the line of impact?
A. Central impact
B. Eccentric impact
C. Direct impact
D. Oblique impact
**Answer:** Option D
76. What type of impact is when the centers of mass of colliding bodies are
not located on the line of impact?
A. Central impact
B. Eccentric impact
C. Direct impact
D. Oblique impact
**Answer:** Option B
77. If the coefficient of restitution is zero, the impact is ______.
A. partially plastic
B. perfectly inelastic
C. perfectly elastic
D. partially elastic
**Answer:** Option B
78. A uniform circular motion can be considered as a combination of ______.
A. linear velocity and impulse
B. simple harmonic motion and momentum
C. two simple harmonic motions
D. rectilinear translation and curvilinear translation
**Answer:** Option C
Certainly! Here are the questions from 79 to 100 with the final answers
included:
79. The motion of a particle is defined by the relation x = (1/3)t^3 – 3t^2 + 8t
+ 2 where x is the distance in meters and t is the time in seconds. What is the
time when the velocity is zero?
A. 2 seconds
B. 3 seconds
C. 5 seconds
D. 7 seconds
**Answer:** Option A
80. A particle moves along a straight line with the equation x = 16t + 4t^2 –
3t^3 where x is the distance in ft and t is the time in second. Compute the
acceleration of the particle after 2 seconds.
A. –28 ft/s^2
B. –30 ft/s^2
C. –17 ft/s^2
D. –24 ft/s^2
**Answer:** Option A
81. Two cars A and B traveling in the same direction and stopped at a highway
traffic sign. As the signal turns green car A accelerates at a constant rate of 1
m/s^2. Two seconds later the second car B accelerates at a constant rate of
1.3 m/s^2. When will the second car B overtake the first car A?
A. 16.27 s
B. 30.45 s
C. 20.32 s
D. 10.45 s
**Answer:** Option A
Certainly! Here are the questions from 82 to 100 along with the multiplechoice options and the correct answers:
82. Two buses start at the same time towards each other from terminals A and
B, 8 km apart. The time needed for the first bus to travel from A to B is 8
minutes, and of the second bus from B to A is 10 minutes. How much time is
needed by each bus to meet each other if they travel at their respective
uniform speeds?
- A. 5.45 min
- B. 10.7 min
- C. 4.44 min
- D. 2.45 min
Answer: C. 4.44 min
83. A train changes its speed uniformly from 60 mph to 30 mph in a distance
of 1500 ft. What is its acceleration?
- A. –1.94 ft/s^2
- B. 2.04 ft/s^2
- C. –2.04 ft/s^2
- D. 1.94 ft/s^2
Answer: B. 2.04 ft/s^2
84. A car starts from rest and has a constant acceleration of 3 ft/s^2. Find the
average velocity during the first 10 seconds of motion.
- A. 13 ft/s
- B. 15 ft/s
- C. 14 ft/s
- D. 20 ft/s
Answer: C. 14 ft/s
85. A man aimed his rifle at the bull’s eye of a target 50 m away. If the speed
of the bullet is 500 m/s, how far below the bull’s eye does the bullet strike the
target?
- A. 5.0 cm
- B. 6.8 cm
- C. 5.7 cm
- D. 6.0 cm
Answer: B. 6.8 cm
86. A man driving his car at a constant rate of 40 mph suddenly sees a sheep
crossing the road 60 feet ahead. Compute the constant deceleration (in
feet/second^2) required to avoid hitting the sheep? Assume a reaction time of
0.5 second before the man applies the brake.
- A. 34.65 ft/s^2
- B. 44.54 ft/s^2
- C. 55.65 ft/s^2
- D. 67.87 ft/s^2
Answer: A. 34.65 ft/s^2
87. A ball is thrown vertically into the air at 120 m/s. After 3 seconds, another
ball is thrown vertically. What velocity must the second ball have to pass the
first ball at 100 m from the ground?
- A. 105.89 m/s
- B. 107.72 m/s
- C. 108.12 m/s
- D. 110.72 m/s
Answer: C. 108.12 m/s
88. A ball is dropped from a height of 60 meters above the ground. How long
does it take to hit the ground?
- A. 2.1 s
- B. 3.5 s
- C. 5.5 s
- D. 1.3 s
Answer: 3.5 s
89. A ball is thrown vertically upward from the ground, and a student gazing
out of the window sees it moving upward pass him at 5 m/s. The window is 10
m above the ground. How high does the ball go above the ground?
- A. 15.25 m
- B. 14.87 m
- C. 9.97 m
- D. 11.28 m
Answer: A. 15.25 m
90. A ball thrown vertically upward with an initial velocity of 3 m/s from the
window of a tall building. The ball strikes the sidewalk at the ground level 4
seconds later. Determine the velocity with which the ball strikes the ground.
- A. 39.25 m/s
- B. 38.50 m/s
- C. 37.75 m/s
- D. 36.24 m/s
Answer: B. 38.50 m/s
91. A player throws a baseball upward with an initial velocity of 30 ft/sec and
catches it with a baseball glove. When will the ball strike the glove? Assume
the glove is positioned at the same elevation when the ball left his hand.
- A. 0.48 s
- B. 0.60 s
- C. 1.20 s
- D. 1.86 s
Answer: D. 1.86 s
92. A highway curve has a super elevation of 7 degrees. What is the radius of
the curve such that there will be no lateral pressure between the tires and the
roadway at a speed of 40 mph?
- A. 265.71 m
- B. 438.34 m
- C. 345.34 m
- D. 330.78 m
Answer: B. 438.34 m
Apologies for the inconvenience. Here are the questions from 93 to 100 along
with the multiple-choice options and the correct answers:
93. A baseball is thrown on a horizontal plane following a parabolic path with
an initial velocity of 100 m/s at an angle of 30 degrees above the horizontal.
Solve the distance from the throwing point that the ball attains its original
level.
- A. 890 m
- B. 883 m
- C. 858 m
- D. 820 m
- Answer: B. 883 m
94. Compute the minimum distance that a truck slides on a horizontal asphalt
road if it is traveling at 20 m/s? The coefficient of sliding friction between
asphalt and rubber tire is 0.50. The weight of the truck is 8000 kg.
- A. 40.8 m
- B. 48.5 m
- C. 35.3 m
- D. 31.4 m
- Answer: A. 40.8 m
95. A projectile is fired from a cliff 300 m high with an initial velocity of 400
m/s. If the firing angle is 30 degrees from the horizontal, compute the
horizontal range of the projectile.
- A. 15.74 km
- B. 14.54 km
- C. 12.31 km
- D. 20.43 km
- Answer: B. 14.54 km
96. A 25 g mass bullet was fired at the wall. The bullet’s speed upon hitting the
wall is 350 m/s. What is the average force (in Newton) if the bullet penetrates
10 cm?
- A. 14,543.2 N
- B. 11,342.2 N
- C. 10,543.3 N
- D. 15,312.5 N
- Answer: D.
97. A girl tied an 80 gram toy plane to a string, which she rotated to form a
vertical circular motion with a diameter of 1000 mm. Compute the maximum
pull exerted on the string by the toy plane if it got loose, leaving at the
bottom of the circle at 25 m/s.
- A. 0.002 kN
- B. 0.05 kN
- C. 0.2 kN
- D. 0.1 kN
- Answer: D.
98. A gun is shot into a 0.50 kN block that is hanging from a rope 1.8 m long.
The weight of the bullet is equal to 5 N with a muzzle velocity of 320 m/s. How
high will the block swing after it was hit by the bullet?
- A. 0.51 m
- B. 0.53 m
- C. 0.32 m
- D. 0.12 m
- Answer: A.
99. A train weighing 1000 kN is being pulled up a 2% grade. The train’s
resistance is 5 N/kN. The train’s velocity was increased from 6 to 12 m/s in a
distance of 300 m. Compute the maximum power developed by the
locomotive.
- A. 600 kW
- B. 450 kW
- C. 520 kW
- D. 320 kW
- Answer: C.
100. Determine the angle of super elevation for a highway curve of 600 ft
radius so that there will be no side thrust for a speed of 45 mph.
- A. 13.45°
- B. 12.71°
- C. 11.23°
- D. 10.45°
- Answer: B.
101. A physical quantity that is completely described by a real number is called
___________.
A. scalar
B. vector
C. tensor
D. none of the above
**Answer:** Option A
102. A convenient means of representing physical quantities that have
magnitude and direction.
A. scalars
B. vectors
C. tensors
D. none of the above
**Answer:** Option B
103. The product of a scalar and a vector is a
A. scalar
B. vector
C. tensor
D. none of the above
**Answer:** Option B
104. It is simply a vector whose magnitude is 1
A. moment vector
B. tensor
C. unit vector
D. vector unity
**Answer:** Option C
105. It is sometimes called the scalar product.
A. dot product
B. vector product
C. cross product
D. unit scalar
**Answer:** Option A
106. To calculate for the force exerted on a charged particle by a magnetic
field, _________ is used.
A. vector product
B. scalar product
C. dot product
D. vector sum
**Answer:** Option A
107. It is sometimes called the vector product.
A. dot product
B. cross product
C. tensor product
D. unit vector
**Answer:** Option B
108. Which of the following statements is false?
A. The cross product is commutative.
B. The cross product is associative with respect to scalar multiplication.
C. The cross product is distributive with respect to vector addition.
D. The angle between two identical vectors placed tail to tail is zero.
**Answer:** Option A
109. When a force is represented by a vector, the straight line collinear with
the vector is called the ________.
A. line of apsides
B. line of reaction
C. line of vector
D. line of action
**Answer:** Option D
110. A system of forces is __________ if the lines of action of the forces intersect
at a point.
A. parallel
B. coplanar
C. concurrent
D. two-dimensional
**Answer:** Option C
111. A system of two forces is ___________ if the lines of action of the forces lie
in a plane.
A. coplanar
B. two-dimensional
C. A or B
D. none of the above
**Answer:** Option C
112. Force acting on an object is called a ___________ if its acts on the volume of
the object.
A. internal force
B. external force
C. body force
D. surface force
**Answer:** Option C
113. If each point on the object has the same constant velocity, this is referred
to as __________.
A. continuum translation
B. discrete translation
C. finite translation
D. steady translation
**Answer:** Option D
114. The moment of a force about a point P is equal to the sum of the
moments of its components about P.
A. Cavalieri’s Theorem
B. Pascal’s Theorem
C. Varignon’s Theorem
D. Torricelli’s Theorem
**Answer:** Option C
115. It is the measure of the tendency of a force to cause rotation about a line
or axis.
A. moment
B. momentum
C. impulse
D. torsion
**Answer:** Option A
116. A couple is composed of two forces that are
A. equal
B. equal and opposite
C. equal and different lines of action
D. equal, opposite and different lines of action
**Answer:** Option D
117. Which of the following statements is true about a couple?
A. A couple does not tend to cause a rotation of an object.
B. The vector sum of the force couple always has a value.
C. A couple tends to cause a rotation of an object.
D. The moment it exerts is not the same about any point.
**Answer:** Option C
118. If an object is on an inclined plane having an angle θ, the component of
weight (w) parallel to incline is __________.
A. w sinθ
B. w cosθ
C. w tanθ
D. w cotθ
**Answer:** Option A
119. A type of force acting on a body due to the acceleration of gravity.
A. load
B. shear
C. bear
D. mass
**Answer:** Option A
120. A type of force acting on a body caused by the friction between the body
and the ground.
A. load
B. shear
C. bear
D. mass
**Answer:** Option B
**Questions 121-141:**
121. The unit of force, Newton, is equivalent to
A. lbm-ft/s^2
B. g-cm/s^2
C. kg-m/s^2
D. kgf
**Answer:** Option C
122. When a body is in contact with the ground, the force that is reflected
back to the body is called
A. ground reflected force
B. gravity reflected force
C. ground reaction force
D. gravity reaction force
**Answer:** Option C
123. The gravity in the moon is about
A. 1.6 m/s^2
B. 2.6 m/s^2
C. 3.6 m/s^2
D. 0.6 m/s^2
**Answer:** Option A
124. The ground reaction force on a body can be represented by a single force
acting on a point called
A. center of force
B. center of reaction
C. center of reflection
D. center of pressure
**Answer:** Option D
125. The tuning effect on a body is dependent on which of the following?
A. mass of the load
B. acceleration of gravity
C. moment arm
D. all of the above
**Answer:** Option D
126. The perpendicular distance of the force from the point about which the
body will turn is called
A. moment arm
B. moment distance
C. lever arm
D. A or C
**Answer:** Option D
127. If the force is moved in the direction parallel to the direction of the force,
the moment exerted by the force ___________.
A. increases
B. decreases
C. is unchanged
D. becomes zero
**Answer:** Option C
128. The moment of force is zero when
A. the applied force is zero.
B. the force is applied at the moment axis.
C. the line of action of the force is parallel to the axis.
D. all of the above
**Answer:** Option D
129. __________ is finding a single force which shall be equal to two or more
given forces when acting in given directions.
A. resolution of forces
B. integration of forces
C. composition of forces
D. quantization of forces
**Answer:** Option C
130. He is the father of modern engineering mechanics
A. Gilbert Lewis
B. Stephen Timoshenko
C. J. Gordon
D. A. Cotrell
**Answer:** Option B
131. It is a method of applying mechanics that assumes all objects are
continuous.
A. Discrete Mechanics
B. Finite Element Method
C. Continuum Mechanics
D. Contact Mechanics
**Answer:** Option C
132. Which of the following is an example of contact force?
A. gravitational force
B. magnetic force
C. air resistance force
D. electric force
**Answer:** Option C
133. It occurs when an object is moving across a surface.
A. dynamic friction
B. static friction
C. kinetic friction
D. sliding friction
**Answer:** Option D
134. Given µ = 0.35 between the object of mass 400 g and the floor, the object
will __________ if pulled with a force of 3 N.
A. remain at rest
B. move
C. accelerate
D. B and C
**Answer:** Option D
135. Which of the following statements is correct?
A. The coefficient of static friction is always less than 1.
B. The coefficient of static friction is typically greater than the coefficient of
kinetic friction.
C. The coefficient of kinetic friction is typically greater than the coefficient of
static friction.
D. The coefficient of static and kinetic friction are always equal.
**Answer:** Option B
136. The equations that apply to bodies moving linearly (that is, one
dimension) with uniform accelerations are often referred to as
A. UVATS
B. SUVAT
C. UVATS
D. Either of the above
**Answer:** Option D
137. "Observed from an internal reference frame, the net force on a particle is
proportional to the time rate of change of its linear momentum". This is
known as Newton’s ___________ of motion.
A. Zeroth Law
B. First Law
C. Second Law
D. Third Law
**Answer:** Option C
138. It is also known as quantity of motion.
A. momentum
B. force
C. mass
D. acceleration
**Answer:** Option A
139. This concept assumes that the substance of the body is distributed
throughout and completely fills the space it occupies.
A. Finite Element
B. Contact
C. Discrete
D. Continuum
**Answer:** Option D
140. In fluids, _________ is used to assess to what extent the approximation of
continuity can be made.
A. Brayton Number
B. Knudsen Number
C. Reynolds Number
D. Prandtl Number
**Answer:** Option B
**Questions 141-150:**
141. It is the time rate of change of any property of a continuum for a
specified group of particles of the moving continuum body.
A. Material Derivative
B. Continual Derivative
C. Particle Derivative
D. Quantum Derivative
**Answer:** Option A
142. Material derivative is also known as __________.
A. substantial derivative
B. commoving derivative
C. convective derivative
D. all of the above
**Answer:** Option D
143. The vector connecting the positions of a particle in the undeformed and
deformed configuration is called the ________.
A. displacement vector
B. position vector
C. displacement field
D. position field
**Answer:** Option A
144. A __________ is a vector field of all displacement vectors for all particles in
the body.
A. position field
B. action field
C. displacement field
D. path field
**Answer:** Option C
145. _________ is the study of the physics of continuous solids with a defined
rest shape.
A. Continuum Mechanics
B. Solid Mechanics
C. Fluid Mechanics
D. Discrete Mechanics
**Answer:** Option B
146. It is an experimental method for visualizing and analyzing fluid flow.
A. Particle Image Velocimetry
B. Particle Image Accelerometry
C. Particle Image Flowmeter
D. Particle Image Viscosimetry
**Answer:** Option A
147. A fluid at rest has no
A. longitudinal stress
B. shear stress
C. tensile stress
D. compressive stress
**Answer:** Option B
148. A property of fluids which is the force generated by a fluid in response to
a velocity gradient.
A. compressibility
B. plasticity
C. elasticity
D. viscosity
**Answer:** Option D
149. These equations state that changes in momentum of fluid particles
depend only on the external pressure and internal viscous forces acting on the
fluid.
A. Navier – Stokes Equations
B. Torricelli Equations
C. Reynolds Equations
D. Lagrangian Equations
**Answer:** Option A
150. It is defined as, regardless of the forces acting on a fluid, the fluid
continues to flow
A. Newtonian fluid
B. non-Newtonian fluid
C. Lagrangian fluid
D. non-Lagrangian fluid
**Answer:** Option A
**151.** Which of the following is an example of a Newtonian fluid?
A. oobleck
B. pudding
C. water
D. paint
**Answer:** Option C
**152.** If an object is stationary or moving at a constant velocity, then
A. no forces are acting on the object.
B. the forces acting on the object are balanced.
C. the object is in equilibrium state.
D. either of the above
**Answer:** Option D
**153.** It is an additional force that exactly balances a resultant force.
A. reactant
B. equilibrant
C. buoyant
D. reverse effective force
**Answer:** Option B
**154.** The equilibrant of the forces 10 N at 10° and 15 N at 100° is
A. 18 N at 246°
B. 18 N at 66°
C. 25 N at -114°
D. 25 N at 66°
**Answer:** Option A
**155.** It is a point within an object from which the force of gravity appears
to act
A. center of gravity
B. centroid
C. center of mass
D. all of the above are correct
**Answer:** Option D
**156.** If an area has one line of symmetry, the centroid will
A. lie somewhere along the line symmetry
B. lie anywhere on the area
C. lie in the midpoint of the line of symmetry
D. not lie on the line of symmetry
**Answer:** Option A
**157.** The second moment of area is an important value used to __________.
It can also be called the moment of inertia.
A. determine the state of stress in a section
B. calculate the resistance to buckling
C. determine the amount of deflection in a beam
D. all of the above
**Answer:** Option D
**158.** The __________ transfers the moment of inertia of a section or area
from its own centroidal axis to another parallel axis.
A. moment of axis theorem
B. transfer formula
C. parallel axis theorem
D. B or C
**Answer:** Option D
**159.** The moment of force is zero when
A. the applied force is zero
B. the force is applied at the moment axis
C. the line of action of the force is parallel to the moment axis
D. all of the above
**Answer:** Option D
**160.** The mass moment of inertia of a solid sphere about its diameter is
A. 1/5 mr^2
B. 2/5 mr^2
C. 3/5 mr^2
D. 4/5 mr^2
**Answer:** Option B
**161.** The mass moment of inertia of a thin spherical shell about its
diameter is
A. 1/6 mr²
B. 1/3 mr²
C. 1/2 mr²
D. 2/3 mr²
**Answer:** Option D
**162.** It is a mathematical property of a section concerned with a surface
area and how that area is distributed about the reference axis.
A. moment of area
B. second moment of area
C. third moment of area
D. fourth moment of area
**Answer:** Option B
**163.** It is the material’s ability to resist twisting
A. mass moment of inertia
B. moment of area
C. second moment of area
D. polar moment of area
**Answer:** Option D
**164.** “Any object, wholly or partly immersed in a fluid, is buoyed up by a
force equal to the weight of the fluid displaced by the object”. This is known
as the ____________.
A. Bernoulli’s Principle
B. Torricelli’s Principle
C. Archimedes’ Principle
D. Pascal’s Principle
**Answer:** Option C
**165.** It is the upward force on an object produced by the surrounding fluid
in which it is fully or partially immersed.
A. Archimedes’ force
B. fluid pressure
C. buoyancy
D. weight reaction
**Answer:** Option C
**166.** A rock of weight 10 N suspended by a string is lowered into water,
displacing water of weight 3 N. Determine the tension in the string.
A. 13 N
B. 7 N
C. 10 N
D. 3 N
**Answer:** Option B
**167.** If the buoyancy of an object exceeds its weight, the object __________.
A. tends to rise
B. tends to sink
C. A or B
D. none of the above
**Answer:** Option A
**168.** It is the rate of change of velocity
A. displacement
B. acceleration
C. momentum
D. impulse
**Answer:** Option B
**169.** Impulse is equal to ________.
A. force x time
B. change in momentum
C. A or B
D. none of the above
**Answer:** Option C
**170.** Collisions in which objects rebound with the same speed as they had
prior to the collision are known as __________.
A. elastic collisions
B. inelastic collisions
C. static collisions
D. plastic collisions
**Answer:** Option A
**171.** If a 10-kg object experiences a 20-N force for a duration of 0.05second, then what is the momentum change of the object?
A. 1 N-s
B. 400 N-s
C. 0.5 N-s
D. 200 N-s
**Answer:** Option A
**172.** When hit, the velocity of a 0.2 kg baseball changes from +25 m/s to 25 m/s. What is the magnitude of the impulse delivered by the bat to the ball?
A. 1 N-s
B. 5 N-s
C. 10 N-s
D. 20 N-s
**Answer:** Option A
**173.** It is defined as the integral of force with respect to time.
A. momentum
B. impulse
C. velocity
D. acceleration
**Answer:** Option B
**174.** The SI unit for angular velocity is
A. degrees per second
B. revolutions per second
C. mils per second
D. radians per second
**Answer:** Option D
**175.** The angular momentum of a rotating object can be calculated by the
formula
A. mass moment of inertia x linear velocity
B. mass x linear velocity
C. mass moment of inertia x angular velocity
D. mass x angular velocity
**Answer:** Option C
**176.** The time derivative of angular momentum is called
A. angular velocity
B. angular acceleration
C. work
D. torque
**Answer:** Option D
**177.** It defines limits on how accurately the momentum and position of a
single observable system can be known at once.
A. Heisenberg uncertainty principle
B. particle momentum principle
C. particle position principle
D. Bohr’s uncertainty principle
**Answer:** Option A
**178.** The SI unit for polar moment of inertia is
A. kg-m 2
B. kg-m 4
C. m 4
D. m 2
**Answer:** Option C
**179.** A structure is _________ when the static equilibrium equations are not
sufficient for determining the internal forces and reactions on that structure.
A. statically determinate
B. statically indeterminate
C. dynamically determinate
D. dynamically indeterminate
**Answer:** Option B
**180.** It is an equation used to find the final velocity of an object moving
with a constant acceleration without having a known time interval.
A. Bernoulli’s equation
B. Torricelli’s equation
C. Newton’s equation
D. Cavendish’s equation
**Answer:** Option B
**181.** Torricelli’s equation of motion is
A. Vf 2= Vi 2+ 2as
B. Vf = Vi + at
C. Vf 2= Vi 2+ at
D. Vf = Vi + 2as
**Answer:** Option A
**182.** Which of the following is true about centripetal force?
A. It is directed toward the center of the circular path.
B. It appears to act outward the body.
C. It is directly proportional to the radius of the circular path.
D. It is inversely proportional to the square of the tangential velocity.
**Answer:** Option A
**183.** Centripetal acceleration
A. changes the direction of the velocity.
B. changes the magnitude of the velocity.
C. changes the magnitude of angular velocity.
D. changes nothing about velocity.
**Answer:** Option A
**184.** Tangential acceleration
A. changes the direction of the velocity.
B. changes the magnitude of the velocity.
C. changes the magnitude of the centripetal acceleration.
D. changes nothing about velocity.
**Answer:** Option B
**185.** The _________ is the primary force from which gravity, electromagnetic
and electrostatic force manifest.
A. Eforce
B. Tforce
C. Kforce
D. Gforce
**Answer:** Option D
**186.** The value of Gforce is equal to
A. 1.211 x 10^41 N
B. 1.211 x 10^42 N
C. 1.211 x 10^43 N
D. 1.211 x 10^44 N
**Answer:** Option D
**187.** The gravitational force constant has the units
A. m^3 kg^-1 s^-2
B. N kg^-1 s^-2
C. m^2 kg^-1 s^-2
D. N kg^-1 m^-1
**Answer:** Option A
**188.** The gravitational force between an electron and a proton 1 meter
apart is
A. 1.02 x 10^57 N
B. 1.02 x 10^-57 N
C. 1.02 x 10^-67 N
D. 1.02 x 10^67 N
**Answer:** Option C
**189.** The value of the standard gravitational parameter for Earth is
A. 4 x 10^11 m^3 s^-2
B. 4 x 10^14 m^3 s^-2
C. 4 x 10^8 m^3 s^-2
D. 4 x 10^10 m^3 s^-2
**Answer:** Option B
**190.** Given that the radius of the moon is 1,730 km and mass is 7.34 x
10^22 kg, determine the acceleration due to gravity on the moon.
A. 1.6 m/s^2
B. 2.6 m/s^2
C. 3.6 m/s^2
D. 0.6 m/s^2
**Answer:** Option A
**191.** It is the resistance that occurs when a round object such as a ball or a
tire rolls on a flat surface.
A. rolling resistance
B. rolling friction
C. rolling drag
D. either of the above
**Answer:** Option D
**192.** Which of the following affects the magnitude of rolling resistance an
object generates?
A. type of material
B. dimensions
C. both A and B
D. none of the above
**Answer:** Option D
**193.** Rolling resistance coefficient is a dimensionless quantity also known
as
A. coefficient of rolling friction
B. coefficient of friction
C. coefficient of resistance
D. rolling friction constant
**Answer:** Option A
**194.** The rolling resistance coefficient of rail road steel wheel on steel rail is
A. 0.0002 – 0.0010
B. 0.005
C. 0.02
D. 0.3
**Answer:** Option A
**195.** The rolling resistance coefficient of ordinary car tires on concrete is
A. 0.0002 – 0.0010
B. 0.1 – 0.2
C. 0.01 – 0.015
D. 0.05 – 0.06
**Answer:** Option C
**196.** It is the factor by which a mechanism multiplies the force put into it.
A. factor of safety
B. mechanical factor
C. mechanical advantage
D. mechanical coefficient
**Answer:** Option C
**197.** It is the study that describes the motion of macroscopic objects.
A. quantum mechanics
B. classical mechanics
C. discrete mechanics
D. continuum mechanics
**Answer:** Option B
**198.** Determine the magnitude of the force vector F = 20i + 60j – 90k (N).
A. 130 N
B. 120 N
C. 100 N
D. 110 N
**Answer:** Option C
**199.** Determine the dot product of the two vectors U = 8i – 6j + 4k and V
= 3i + 7j + 9k.
A. 18
B. 16
C. 14
D. 12
**Answer:** Option A
**200.** Two perpendicular vectors are given in terms of their components by
U = Uxi – 4j + 6k and V = 3i + 2j – 3k. Determine the component Ux.
A. 5.67
B. 6.67
C. 7.67
D. 8.67
**Answer:** Option D
201. It is the science which deals with bodies in motion or at rest with specific
attention being directed primarily to the external effects of a force or a
system.
a) statics
b) thermodynamics
c) kinetics
d) mechanics
Answer: Option D
202. Deals with the conditions of equilibrium of rigid bodies acted upon by a
balanced system of forces.
a) statics
b) thermodynamics
c) kinetics
d) mechanics
Answer: Option A
203. Deals with bodies being acted upon by an unbalanced system of forces
the resultant of which causes the body to be accelerated.
a) statics
b) kinematics
c) dynamics
d) kinetics
Answer: Option C
204. Deals with the geometry of motion.
a) statics
b) kinematics
c) dynamics
d) kinetics
Answer: Option B
205. Deals with the forces required to produce motion.
a) statics
b) kinematics
c) dynamics
d) kinetics
Answer: Option D
206. A specific amount of matter all particles of which remain at fixed distance
to each other.
a) mass
b) force
c) rigid body
d) static body
Answer: Option C
207. Results when a body is acted upon by the force.
a) bending
b) deformation
c) scattering
d) compression
Answer: Option B
208. A fixed body property of a body which determines its resistance to
change in motion.
a) mass
b) force
c) rigid body
d) static body
Answer: Option A
209. The action of one body on another body which changes or tends to
change the motion of the body acted on.
a) mass
b) force
c) rigid body
d) static body
Answer: Option B
210. It is the intensity of the force.
a) magnitude
b) direction
c) mass
d) force
Answer: Option A
211. Sense and slope of angles with respect to reference axes.
a) magnitude
b) direction
c) mass
d) force
Answer: Option B
212. The resultant of two forces which is the diagonal formed on the vectors
of these forces.
a) parallelogram law
b) equilibrium law
c) superposition law
d) action and reaction
Answer: Option A
213. Any pressure on the support causes an equal and opposite pressure from
the support.
a) parallelogram law
b) equilibrium law
c) superposition law
d) action and reaction
Answer: Option D
214. Two forces on a rigid body will in no way be changed if we added or
subtract from them another system of forces in equilibrium.
a) parallelogram law
b) equilibrium law
c) superposition law
d) action and reaction
Answer: Option C
215. Quantities which possess magnitude.
a) tensors
b) vector quantities
c) system of forces
d) scalar quantities
Answer: Option D
216. Quantities having both magnitude and direction.
a) tensors
b) vector quantities
c) system of forces
d) scalar quantities
Answer: Option B
217. Quantities which possess magnitude but require two or more directional
aspects.
a) tensors
b) vector quantities
c) system of forces
d) scalar quantities
Answer: Option A
218. When several forces act in a given situation.
a) tensors
b) vector quantities
c) system of forces
d) scalar quantities
Answer: Option C
219. All forces of the system are in a common line action.
a) concurrent, coplanar
b) collinear forces system
c) parallel, coplanar
d) non-concurrent, coplanar
Answer: Option B
220. The action lines of all the forces are in the same plane and intersect a
common point.
a) concurrent, coplanar
b) collinear forces system
c) parallel, coplanar
d) non-concurrent, coplanar
Answer: Option A
221. The action lines of all the forces of the system are parallel and lie in the
same plane.
a) concurrent, coplanar
b) collinear forces system
c) parallel, coplanar
d) non-concurrent, coplanar
Answer: Option C
222. The action lines of all the forces of the system are in the same plane, but
they are not parallel and don't intersect in a common point.
a) concurrent, coplanar
b) collinear forces system
c) parallel, coplanar
d) non-concurrent, coplanar
Answer: Option B
223. The action lines of all the forces are not in the same plane and intersect a
common point.
a) concurrent, non-coplanar
b) collinear forces system
c) parallel, non-coplanar
d) non concurrent, non-coplanar, non-parallel
Answer: Option A
224. The action lines of all the forces of the system are parallel and not all lie
in the same plane.
a) concurrent, non-coplanar
b) collinear forces system
c) parallel, non-coplanar
d) non concurrent, non-coplanar, non-parallel
Answer: Option C
225. The action lines of all the forces of the system are all not in the same
plane, but they are all not parallel and do not all intersect in a common point.
a) concurrent, non-coplanar
b) collinear forces system
c) parallel, non-coplanar
d) non concurrent, non-coplanar, non-parallel
Answer: Option D
226. The simplest force system that can replace the original system without
changing its external effect.
a) couple
b) resultant
c) composition
d) graphical
Answer: Option B
227. A pair of parallel forces having the same magnitude but opposite senses.
a) couple
b) resultant
c) composition
d) graphical
Answer: Option A
228. The process of replacing a force system by its resultant.
a) couple
b) resultant
c) composition
d) graphical
Answer: Option C
229. A pictorial representation in solving a system.
a) couple
b) resultant
c) composition
d) graphical
Answer: Option D
230. Is used to obtain the magnitude and direction of the resultant of any two
concurrent forces.
a) parallelogram law
b) resolution
c) cosine law
d) triangle law
*Answer Option D
231. An analytical method of finding the resultant of concurrent forces.
a) parallelogram law
b) resolution
c) cosine law
d) triangle law
Answer: Option B
232. Means that either one of two coplanar forces having the given force as
resultant.
a) components
b) polygon method
c) moment of force
d) couple
Answer: Option A
233. Is used to check the results obtained from the resolution and
composition method.
a) components
b) polygon method
c) moment of force
d) couple
Answer: Option B
234. Is a vector quantity that is represented as a vector along the moment axis.
a) components
b) polygon method
c) moment of force
d) couple
Answer: Option C
235. The algebraic sum of the moment of its forces about any axis
perpendicular to the plane of the couple.
a) the magnitude of the couple
b) the slope of the plane of the couple
c) the sense of rotation of the couple
d) the moment of the couple
Answer: Option D
236. The force of attraction of the earth on a body.
a) mass
b) density
c) weight
d) direction
Answer: Option C
237. The theorem of Pappus which states that the surface area of any solid of
revolution is the product of the length multiplied by the distance traveled.
a) 1st proposition
b) 2nd proposition
c) 3rd proposition
d) 4th proposition
Answer: Option A
238. The surface area of the square of a sphere is equal to the length of a
semi-circle multiplied by the distance traveled by the centroid of a semi-circle.
a) 1st proposition
b) 2nd proposition
c) 3rd proposition
d) 4th proposition
Answer: Option A
239. The volume of any solid of revolution is the product of the generating
area.
a) 1st proposition
b) 2nd proposition
c) 3rd proposition
d) 4th proposition
Answer: Option B
240. The theorem used in locating the centroid of the semicircle arc.
a) Pythagorean theorem
b) Newton's theorem
c) Pappus theorem
d) None of the above
Answer: Option C
241. A system of forces acting on a body which has no resultant.
a) free body diagram
b) equilibrium
c) coplanar
d) force
Answer: Option B
242. Is a sketch of a body completely isolated or free from all other bodies.
a) free body diagram
b) equilibrium
c) coplanar
d) force
Answer: Option A
243. Is a definite amount of matter the parts of which are fixed in position
relative to one another.
a) mass
b) force
c) rigid body
d) static body
Answer: Option C
244. Is the action exerted by one body upon another.
a) mass
b) force
c) rigid body
d) static body
Answer: Option B
245. A unit of force
a) meter squared
b) pascal
c) pounds
d) newton
Answer: Option D
246. The external effect of a force in a rigid body is the same for all points
along its line of action.
a) principle of transmissibility of a force
b) axioms of mechanics
c) characteristics of force
d) scalar and vector quantities
Answer: Option A
247. The resultant of two forces is the diagonal formed on two vectors of
those forces.
a) parallelogram law
b) resolution
c) cosine law
d) triangle law
Answer: Option A
248. The forces are in equilibrium only when equal in magnitude, opposite in
direction, and collinear in action.
a) principle of transmissibility of a force
b) axioms of mechanics
c) characteristics of force
d) scalar and vector quantities
Answer: Option B
249. Is a convenient corollary of the parallelogram law.
a) parallelogram law
b) resolution
c) cosine law
d) triangle law
Answer: Option D
250. The determination of the resultant of 3 or more concurrent forces that are
not collinear.
a) resultant of concurrent, coplanar
b) collinear forces system
c) parallel, coplanar
d) non concurrent, coplanar
Answer: Option A
251. Addition which is followed by the parallelogram law described by the
figure.
a) resolution of the vector
b) addition of the vector
c) equilibrium equation for a particle
d) particle
Answer: Option B
252. An object with inertia but of negligible dimension.
a) resolution of the vector
b) addition of the vector
c) equilibrium equation for a particle
d) particle
Answer: Option D
253. A particle is in equilibrium if the resultant of all forces acting on the
particle is equal to zero.
a) resolution of the vector
b) addition of the vector
c) equilibrium equation for a particle
d) particle
Answer: Option C
254. In a rectangular coordinate system the equilibrium equations can be
represented by three scalar equations.
a) equilibrium equation in component form
b) free body diagram
c) string or cable
d) linear spring
Answer: Option A
255. A mechanical device that can only transmit a tensile force along itself.
a) equilibrium equation in component form
b) free body diagram
c) string or cable
d) linear spring
Answer: Option A
256. A mechanical device that can which exerts a force along its line of its
action and proportional to its extension.
a) equilibrium equation in component form
b) free body diagram
c) string or cable
d) linear spring
Answer: Option D
257. The tension in the cable is the same on both sides of the pulley.
a) frictionless pulley
b) static equilibrium for a rigid body
c) newton’s 3rd law
d) composite bodies and external source
Answer: Option A
258. Each action has a reaction equal in magnitude and opposite in direction.
a) frictionless pulley
b) static equilibrium for a rigid body
c) newton’s 3rd law
d) composite bodies and external source
Answer: Option C
259. Forces and couples which are a result of interaction between one part of
an object and another part of it will not appear in the free body diagram of
the whole object.
a) frictionless pulley
b) static equilibrium for a rigid body
c) newton’s 3rd law
d) composite bodies and external source
Answer: Option D
260. Each force or couple putted on a free diagram represents a model of how
a body is affected by its surroundings.
a) a two-force member
b) a three-force member
c) forces and couples of a free body
d) truss
Answer: Option C
261. It is a structure made of two force members all pin is connected to each
other.
a) a two-force member
b) a three-force member
c) forces and couples of a free body
d) truss
Answer: Option D
262. A body which has forces applied onto it at only two points and no
couples applied onto it at all.
a) a two-force member
b) a three-force member
c) forces and couples of a free body
d) truss
Answer: Option A
263. A body which has forces applied onto it at only three points and no
couples applied onto it at all.
a) a two-force member
b) a three-force member
c) forces and couples of a free body
d) truss
Answer: Option B
264. This method uses the free body diagram of joints in the structure to
determine the forces in each member.
a) method of joints
b) the method of sections
c) zero force member
d) a redundant joint
Answer: Option A
265. This method uses free body diagrams of sections of the truss to obtain
unknown forces.
a) method of joints
b) the method of sections
c) zero force member
d) a redundant joint
Answer: Option B
266. Some members in the truss which cannot carry load.
a) method of joints
b) the method of sections
c) zero force member
d) a redundant joint
Answer: Option C
267. In the free diagram load is directly transmitted from each member to the
one opposite without any interaction.
a) method of joints
b) the method of sections
c) zero force member
d) a redundant joint
Answer: Option C
268. These members must be removed from the truss, otherwise one will have
an insufficient number of equations.
a) redundant members
b) mechanism
c) curved members
d) none of the above
Answer: Option A
269. Sometimes there is too much freedom in a structure, the following
structure cannot carry load since it will collapse under the load.
a) redundant members
b) mechanism
c) curved members
d) none of the above
Answer: Option B
270. Two forces acting on a two-force member are along the line connecting
the two points on which the loads are applied.
a) redundant members
b) mechanism
c) curved members
d) none of the above
Answer: Option C
271. A general triangular object which is placed between two objects to either
hold them in place or is used to move one relative to the other.
a) screw
b) self-locking screw
c) frames
d) wedges
Answer: Option D
272. It is a combination of two wedges obtained from the opening of the
helical treads.
a) screw
b) self-locking screw
c) frames
d) wedges
Answer: Option A
273. If the lead angle is selected such that in the absence of a screwing
moment.
a) screw
b) self-locking screw
c) frames
d) wedges
Answer: Option B
274. Is the second moment of area around a given axis.
a) area moment of inertia
b) radius of gyration
c) parallel axis theorem
d) none of the above
Answer: Option A
275. Can be calculated if we have a rectangular coordinate system, one can
define the area moment of inertial around the axis.
a) area moment of inertia
b) radius of gyration
c) parallel axis theorem
d) none of the above
Answer: Option C
276. It is the distance away from the axis that all the area can be concentrated
to result in the same moment of inertia.
a) area moment of inertia
b) radius of gyration
c) parallel axis theorem
d) none of the above
Answer: Option B
277. The explicit form of the laws of mechanics depend on this and is used to
reference the motions.
a) Euler’s law
b) linear momentum of particle
c) linear momentum of a body
d) inertial frame
Answer: Option D
278. Law which governs the motion for a rigid body.
a) Euler’s law
b) linear momentum of particle
c) linear momentum of a body
d) inertial frame
Answer: Option A
279. For a single particle of mass, its linear momentum is its mass times its
velocity.
a) Euler’s law
b) linear momentum of particle
c) linear momentum of a body
d) inertial frame
Answer: Option B
280. Is assumed to be the sum of the linear momentum of its particles.
a) Euler’s law
b) linear momentum of particle
c) linear momentum of a body
d) inertial frame
Answer: Option C
281. For a particle of mass, it is defined as the moment of linear momentum
around the point.
a) angular momentum of a rigid body
b) angular momentum of a particle
c) angular velocity
d) angular acceleration
Answer: Option B
282. A vector itself which has a magnitude equal to the rate of rotation.
a) angular momentum of a rigid body
b) angular momentum of a particle
c) angular velocity
d) angular acceleration
Answer: Option C
283. Is the rate of change of the angular velocity with respect to time.
a) angular momentum of a rigid body
b) angular momentum of a particle
c) angular velocity
d) angular acceleration
Answer: Option D
284. When two surfaces come into contact, forces are applied by each other
surface on the other.
a) friction force
b) kinetic friction
c) static friction
d) impending motion
Answer: Option A
285. The frictional forces that can result between two surfaces slide relative to
each other.
a) friction force
b) kinetic friction
c) static friction
d) impending motion
Answer: Option C
286. The frictional forces that can result when two surfaces are sliding to each
other is proportional to the normal force applied on the surface.
a) friction force
b) kinetic friction
c) static friction
d) impending motion
Answer: Option B
287. Refers to the state just before surfaces start to slip.
a) friction force
b) kinetic friction
c) static friction
d) impending motion
Answer: Option D
288. Is a method for predicting failure of a structure containing a crack.
a) fracture mechanics
b) continuum mechanics
c) deformation mechanics
d) fluid mechanics
Answer: Option A
289. The study of deformations typically in the elastic range.
a) fracture mechanics
b) continuum mechanics
c) deformation mechanics
d) fluid mechanics
Answer: Option C
290. It is the study on how fluids react to forces.
a) fracture mechanics
b) continuum mechanics
c) deformation mechanics
d) fluid mechanics
Answer: Option D
291. A method of applying mechanics that assumes all objects are continuous.
a) fracture mechanics
b) continuum mechanics
c) deformation mechanics
d) fluid mechanics
Answer: Option B
292. Under this condition the forces or vectors are transformed into a polygon.
a) directional condition
b) analytical condition
c) hydraulics
d) graphical condition
Answer: Option D
293. If three or more non-parallel forces or vectors are in equilibrium they
must be concurrent.
a) directional condition
b) analytical condition
c) hydraulics
d) graphical condition
Answer: Option A
294. If forces or vectors are in equilibrium then it must satisfy the three static
equations.
a) directional condition
b) analytical condition
c) hydraulics
d) graphical condition
Answer: Option B
295. It is the application of fluid mechanics in engineering.
a) directional condition
b) analytical condition
c) hydraulics
d) graphical condition
Answer: Option C
296. When the loading is uniformly distributed horizontally the cable is
analyzed as.
a) parabolic cable
b) catenary
c) projectile
d) rotation
Answer: Option A
297. When the loading is distributed along the cable the cable is analyzed as
a) parabolic cable
b) catenary
c) projectile
d) rotation
Answer: Option B
298. Is one whose action is not confined to or associated with a unique line in
space.
a) sliding vector
b) free vector
c) fixed vector
d) none of the above
Answer: Option B
299. Is one for which a unique line in space must be maintained along which
the quantity acts.
a) sliding vector
b) free vector
c) fixed vector
d) none of the above
Answer: Option A
300. Is one which a unique point of application is specified and therefore the
vector occupies a particular position in space.
a) sliding vector
b) free vector
c) fixed vector
d) none of the above
Answer: Option C
301. It is defined as the science which considers the effects of forces on rigid
bodies
a. Kinetics
b. Engineering Mechanics
c. Statics
d. Dynamics.
Answer: Option B
302. It considers the effects of the distribution of forces on rigid bodies which
are and remain at rest.
a. Dynamics
b. kinetics
c. statics
d. kinematics
Answer: Option C
303. It is defined as a definite amount of matter the parts which are fixed in
position relative to each other.
a. kinematics
b. force system
c. rigid body
d. dynamics
Answer: Option C
304. It is the branch of mechanics which deals with the study of bodies in
motion
a. statics
b. dynamics
c. kinetics
d. none of the above.
Answer: Option B
305. It is defined as a condition in which the resultant of a system of force is
equal to zero.
a. resultant
b. axes
c. Equilibrium
d. displacement
Answer: Option C
306. The forces by which determine how the loads applied to a structure are
distributed throughout the structure.
a. force system
b. analysis of structure
c. rigid body
d. none of the above
Answer: Option B
307. In _____ the members are subjected to bending action.
a. forces
b. trusses
c. frames
d. structure
Answer: Option C
308. In _____ the internal force in a bar is directed along the axis of bars.
a. frame
b. structure
c. forces
d. trusses
Answer: Option D
309. It may be defined as the contact resistance exerted by one body upon a
second body when the second body moves or tends to move past the first
body.
a. resistance
b. pressure
c. friction
d. motion
Answer: Option C
310. The term ______ is used when rotating to the center of gravity of a
weightless figure such as a line, an area or a volumes.
a. centroid
b. axis
c. area
d. base
Answer: Option A
311. The moment of inertia is sometimes called the __________.
a. parallel axis
b. second moment of area
c. polar moment of inertia
d. none of the above
Answer: Option B
312. The term ________ is used to describe another mathematical expression
appears and appears must frequently in column formulas.
a. radius of gyration
b. centroidal axis
c. moments of inertia
d. mohr’s circle
Answer: Option A
313. The moment of inertia of an area is defined by the equation?
a. I =Ak2
b. Ir+Iy
c. Sp2dA
d. SxydA
Answer: Option C
314. The pendulum clock was developed by ________
a. Robert Hooke
b. Hygens
c. Galileo
d. Aristotle
Answer: Option B
315. It is the geometry of motion.
a. static
b. kinematics
c. kinetic
d. dynamics
Answer: Option B
316. It is the branch of mechanics that relates the force acting on a body to its
mass and acceleration.
a. Dynamics
b. statics
c. kinematic
d. kinetic.
Answer: Option A
317. The _______ expresses the relation between the external forces applied to
a system of particles and the effective force on each particle of the system.
a. Newtons Law of Motion
b. D’alemberts principle
c. Inertia force of particle
d. none of the above.
Answer: Option B
318. It is defined as the motion of a rigid body in which a straight live passing
through any two point of the body always remain parallel to its initial position.
a. Translation
b. velocity
c. acceleration
d. none of the above
Answer: Option A
319. The motion of translating body moving in a straight line is called _______.
a. rectilinear translation
b. curve linear translation
c. parallel axis
d. kinematic equation of motion
Answer: Option A
320. The path of the translating body is curved, the motion becomes _____.
a. rectilinear translation
b. parallel axes
c. curve linear translation
d. none of the above.
Answer: Option C
321. The area under a v-t curve represents the change in ______
a. displacement
b. velocity
c. mass
d. acceleration
Answer: Option A
322. The area under an a-t curve represents the change in _______
a. acceleration
b. displacement
c. velocity
d. none of the above.
Answer: Option A
323. When the principle of the motion of the center of gravity is applied to
rectilinear translation, we obtain _____.
a. ∑x = w?ga
b. 10/ga
c. ∑x =q/g
d. none of the above
Answer: Option A
324. The normal component of acceleration is expressed by______.
a. αn =v^2/r
b. αt = dv/dt
c. α = αn + αt
d. none of the above
Answer: Option A
325. It is defined as that motion of a rigid body in which the particles move in
circular paths with their centers on a fixed straight line.
a. translation
b. rotation
c. acceleration
d. none of the above.
Answer: Option B
326. ________ is measured in radians by the angular distance swept through by
any radians of or line in the rotating body.
a. angular displacement
b. angular velocity
c. angular acceleration
d. none of the above.
Answer: Option A
327. It is defined as the motion of a rigid body in which all particles in the
body remain at a constant distance from a fixed reference plane.
a. angular velocity
b. plane motion
c. rotation
d. translation
Answer: Option B
328. The expression w/2g v^2 is defined as _______.
a. resultant work
b. kinetic energy
c. acceleration
d. none of the above
Answer: Option B
329. The expression S∫∑X.ds is defined as _________
a. kinetic energy
b. resultant work
c. work-energy equation
d. none of the above
Answer: Option B
330. It is a motion which repeats itself after a defined interval of time.
a. frequency
b. vibration
c. precession
d. none of the above
Answer: Option B
331. The maximum displacement of the body from its equilibrium position is
known as the ____ of the vibration.
a. frequency
b. acceleration
c. amplitude
d. force
Answer: Option C
332. Each repetition of the motion is called a _______.
a. period
b. vibrations
c. cycle
d. none of the above.
Answer: Option C
333. The ______ of the vibration is the reciprocal of the period and is measured
in cycles per second.
a. amplitude
b. frequency
c. vibrations
d. none of the above
Answer: Option B
334. The time required to complete one oscillation backward and forward is
called the _____ of the motion.
a. cycle
b. vibrations
c. period
d. none of the above.
Answer: Option C
335. The condition existing when the impressed frequency is equal to the
natural frequency is known as_______.
a. resonance
b. displacement
c. cycle
d. amplitude
Answer: Option A
336. The speed of rotation at which resonance occurs is called ________.
a. cycle
b. vibrations
c. critical speed
d. rotation
Answer: Option C
337. The α = w^2s is the mathematical description for _________
a. simple harmonic motion
b. work-energy method
c. plane motion
d. none of the above
Answer: Option A
338. __________ is the time rate at which work is done on a body.
a. motion
b. cycle
c. power
d. resultant
Answer: Option C
339. The __________ is a traditional unit equivalent to 550 ft-lb of work per sec,
or 33,000 ft-lb of work per min.
a. watt
b. kilowatt
c. horsepower
d. none of the above
Answer: Option C
340. It is the ratio of power output to power input.
a. amplitude
b. frequency
c. efficiency
d. none of the above.
Answer: Option C
341. It is defined as that which changes, or tends to change, the state of
motion of a body.
a. acceleration
b. force
c. speed
d. velocity
Answer: Option B
342. An axis passing through the centroid of an area is known as a _________
a. parallel axis
b. centroidal axis
c. radius
d. none of the above
Answer: Option B
343. It is defined as the time rate of change of displacement.
a. speed
b. velocity
c. distance
d. none of the above
Answer: Option B
344. It is defined as the time rate of change of velocity
a. displacement
b. speed
c. acceleration
d. none of the above
Answer: Option C
345. The _______ is a force that results from the attraction between the mass of
the body and the mass of the earth.
a. weight
b. density
c. volume
d. none of the above.
Answer: Option B
346. The line joining the center of gravity and the center of rotation will be
called______.
a. T axis
b. N axis
c. Z axis
d. Y axis
Answer: Option B
347. The line through the center of rotation perpendicular to N will be called
_________.
a. Z axis
b. N axis
c. T axis
d. none of the above.
Answer: Option C
348. The axis of rotation will be called the ______.
a. N axis
b. Z axis
c. T axis
d. none of the above.
Answer: Option B
349. The _____________ are called the normal and tangential axes since they are
respectively normal and tangent to the path of the center of gravity.
a. rotating axes
b. center of percussion
c. centroidal axis
d. none of the above
Answer: Option A
350. A ________ is defined as a particle at the end of a weightless cord that is
allowed to vibrate in a vertical arc of a circle under the influence of gravity and
the tension in the cord.
a. force vibrations
b. simple pendulum
c. plane motion
d. none of the above
Answer: Option B
351. A simply supported beam is 5 meters in length. It carries a uniformly
distributed load including its own weight of 300 N/m and a concentrated load
of 100 N, 2 meters from the left end. Find the reactions if reaction A is at the
left end and reaction B at the right end.
A. Ra = 810 N & Rb = 700 N
B. Ra = 700 N & Rb = 800 N
C. Ra = 810 N & Rb = 780 N
D. Ra = 700 N & Rb = 810 N
Answer: Option A
352. A beam of span ‘x’ meters with uniform loading of ‘w’ kilograms per
meter is supported at one end (A) and a distance of 2 m from the other end
(B). Find the reaction at support A.
A. (wx^2)/ [2(x-2)] kg
B. [wx(x-4)]/[2(x-2)] kg
C. [wx(x-2)]/[2(x-2)] kg
D. wx/[2(x-2)] kg
Answer: Option B
353. When one boy is sitting 1.2 m from the center of a see-saw, another boy
must to sit on the other side 1.5 m from the center to maintain an even
balance. However, when the first boy carries an additional weight of 14 kg and
sit 1.8 m from the center, the second boy must move to 3 m from the center
to balance. Neglecting the weight of the see-saw, find the weight of the
heavier boy.
A. 30 kg
B. 42 kg
C. 34 kg
D. 45 kg
Answer: Option B
354. A 40 kg block is resting on an inclined plane making an angle of 20° from
the horizontal. If the coefficient of friction is 0.60, determine the force parallel
to the incline that must be applied to cause impending motion down the
plane.
A. 82
B. 77
C. 87
D. 72
Answer: Option C
355. A 250 lb. block is initially at rest on a flat surface that is inclined at 30°. If
the coefficient of kinetic friction is 0.30 and the coefficient of static friction is
0.40, find the force required to start the block moving up the plane.
A. 190 lb
B. 212 lb
C. 125 lb
D. 75 lb
Answer: Option B
356. A 600 N block rests in a surface inclined at 30°. Determine the horizontal
force P required to prevent the block from sliding down. Angle of friction
between the block and the inclined plane is 15°.
A. 160.75 N
B. 198.55 N
C. 164.60 N
D. 190.45 N
Answer: Option A
357. Assume the three force vectors intersect at a single point.
F1 = 4i + 2j + 5k
F2 = –2i + 7j – 3k
F3 = 2i – j + 6k
What is the magnitude of the resultant force vector, R?
A. 14
B. 12
C. 13
D. 15
Answer: Option B
358. Given the 3-dimensional vectors:
A = i(xy) + j(2yz) + k(3zx)
B = i(yz) + j(2zx) + k(xy)
Determine the magnitude of the vector sum |A + B| at coordinates (3,2,1).
A. 32.92
B. 29.92
C. 27.20
D. 24.73
Answer: Option B
359. At what angle does the force F = 6.23i – 2.38j +4.92 kN makes with the xaxis?
A. 39.2 deg
B. 40.2 deg
C. 41.3 deg
D. 42.2 deg
Answer: Option C
360. Assume the three force vectors intersect at a single point.
F1 = i + 3j + 4k
F2 = 2i + 7j – k
F3 = -i + 4j + 2k
What is the magnitude of the resultant force vector, R?
A. 15
B. 13.23
C. 14.73
D. 16.16
Answer: Option A
361. A certain cable is suspended between two supports at the same elevation
and 500 ft apart, the load is 500 lbs. per horizontal foot including the weight
of the cable. The sag of the cable is 30 feet. Calculate the total length of the
cable.
A. 503.76 ft.
B. 502.76 ft
C. 504.76 ft
D. 501.76 ft
Answer: Option C
362. A cable supported at two points of the same level has a unit weight, ω of
0.02 kg per meter of horizontal distance. The allowed sag is 0.02 m and a
maximum tension at the lowest point of 1200 kg and a factor of safety of 2.
Calculate the allowable spacing of the poles assuming a parabolic cable.
A. 64.02 m
B. 66.37 m
C. 67.76 m
D. 69.28 m
Answer: Option D
363. A cable carrier a horizontal load of 20 kg/m. Neglecting its weight, find
the maximum tension on the cable if the distance between the supports is 100
m and the sag is 5 m.
A. 5099 kg
B. 5059 kg
C. 5199 kg
D. 5215 kg
Answer: Option A
364. Determine the sag of a flexible wire cable weighing 60 N/m over two
frictionless pulleys 100 m apart and carrying one 10 kN weight at each end.
Assume the weight of the cable to be uniformly distributed horizontally. The
cable extends 5 m beyond each pulley to the point they are attached to the
weights.
A. 7.2 m
B. 7.4 m
C. 7.6 m
D. 7.8 m
Answer: Option C
365. A copper cable is suspended between two supports on the same level,
spaced 600 m apart. The cable hangs under its weight only. Under these
conditions, calculate the maximum sag (at the center of the span) when the
maximum stress in the material is 1000 kg/cm^2. The cross-section of the
cable is 1.77 sq. cm. The weight of the cable = 1.5 kg/m. Use the parabolic
equation.
A. 42.26 m
B. 43.26 m
C. 44.26 m
D. 45.26 m
Answer: Option A
366. A cable weighing 0.4 kg/m and 800 m long is to be suspended with a sag
of 80 m. Determine the maximum tension.
A. 414 kg
B. 420 kg
C. 416 kg
D. 400 kg
Answer: Option C
367. A cable weighing 60 N/m is suspended between two supports on the
same level at 300 m apart. The sag is 60 m. Compute the distance of the
lowest point of the cable from the ground level.
A. 205.5 m
B. 196.8 m
C. 200.5 m
D. 188.2 m
Answer: Option B
368. Find the location of the centroid of the composite area consisting of a 10inch square surmounted by a semi-circle. The centroid of a semicircle is
located 4r/3π above the base (diameter) of the semicircle of radius r.
A. 6.0 inches from the bottom
B. 6.2 inches from the bottom
C. 6.4 inches from the bottom
D. 7.0 inches from the bottom
Answer: Option D
369. Electrical loads are arranged on horizontal x, y axes as follows:
Load x-coordinate y-coordinate Kilowatt-load
1 0 2 100
2 1 1 180
3 1 3 200
4 2 0 120
5 2 4 150
6 3 1 200
7 3 3 180
8 4 2 100
A. x = 2.000, y = 2.049
B. x = 2.163, y = 2.195
C. x = 1.854, y = 2.211
D. x = 2.146, y = 1.902
Answer: Option A
370. A rectangle has a base of 3 cm and a height of 6 cm. What is its second
moment of area (in cm^4) about an axis through the center of gravity and
parallel to the base?
A. 64
B. 34
C. 44
D. 54
Answer: Option D
371. A circle has a diameter of 20 cm. Determine the moment of inertia of the
circular area relative to the axis perpendicular to the area through the center
of the circle in cm^4.
A. 14,280
B. 15,708
C. 17,279
D. 19,007
Answer: Option B. 15,708
372. The moment of inertia of a section 2” wide x 2’ 0” high about an axes 1’0”
above the bottom edge of the section is:
A. 1834 in^4
B. 384 in^4
C. 9214 in^4
D. 2304 in^4
Answer: Option D. 2304 in^4
373. An isosceles triangle has a 10cm base and a 10 cm altitude. Determine
the moment of inertia of the triangular area relative to a line parallel to the
base and through the upper vertex in cm^4.
A. 2750
B. 3025
C. 2500
D. 2273
Answer: Option C. 2500
374. What is the moment of inertia of a cylinder of radius 5 m and mass of 5
kg?
A. 120 kg-m^2
B. 80 kg-m^2
C. 62.5 kg-m^2
D. 72.5 kg-m^2
Answer: Option C. 62.5 kg-m^2
375. What is the inertia of a bowling ball (mass = 0.5 kg) of radius 15 cm
rotating at an angular speed of 10 rpm for 6 seconds?
A. 0.001 kg-m^2
B. 0.002 kg-m^2
C. 0.005 kg-m^2
D. 0.0045 kg-m^2
Answer: Option D. 0.0045 kg-m^2
376. What is the acceleration of the body that increases in velocity from 20
m/s to 40 m/s in 3 seconds?
A. 5.00 m/s^2
B. 6.67 m/s^2
C. 7.00 m/s^2
D. 8.00 m/s^2
Answer: Option B. 6.67 m/s^2
377. How far does an automobile move while its speed increases uniformly
from 15 kph to 45kph in 20 seconds?
A. 185 m
B. 167 m
C. 200 m
D. 172 m
Answer: Option B. 167 m
378. A train passing point A at a speed of 72 kph accelerates at 0.75 m/s^2 for
one minute along a straight path then decelerates at 1.0 m/s^2. How far in km
from point A will it be 2 minutes after passing point A?
A. 3.60 km
B. 4.65 km
C. 6.49 km
D. 7.30 km
Answer: Option B. 4.65 km
379. From a speed of 75 kph a car decelerates at the rate of 500 m/min^2
along a straight path. How far in meters will it travel in 45 seconds?
A. 790.293 m
B. 791.357 m
C. 793.238 m
D. 796.875 m
Answer: Option D. 796.875 m
380. A train starting at an initial velocity of 30 kph travels a distance of 21 km
in 18 minutes. Determine the acceleration of the train at this instant.
A. 0.0043 m/s^2
B. 0.0206 m/s^2
C. 0.0865 m/s^2
D. 0.3820 m/s^2
Answer: Option B. 0.0206 m/s^2
381. An automobile moving at a constant velocity of 15 m/sec passes a
gasoline station. Two seconds later, another automobile leaves the gasoline
station and accelerates at a constant rate of 2 m/sec^2. How soon will the
second automobile overtake the first?
A. 15.3 sec
B. 16.8 sec
C. 13.5 sec
D. 18.6 sec
Answer: Option B. 16.8 sec
382. If a particle position is given by the expression x(t) = 3.4t^3 – 5.4t meters,
what is the acceleration of the particle after t=5 seconds?
A. 1.02 m/s^2
B. 102 m/s^2
C. 3.4 m/s^2
D. 18.1 m/s^2
Answer: Option B. 102 m/s^2
383. The distance a body travels is a function of time and is given by x(t) = 18t
+ 9t^2. Find its velocity at t=2.
A. 36
B. 54
C. 24
D. 20
Answer: Option B. 54
384. Determine the velocity of progress with the given equation: D = 20t +
5/(t+1) when t = 4 seconds.
A. 18.6 m/s
B. 19.8 m/s
C. 21.2 m/s
D. 22.4 m/s
Answer: Option B. 19.8 m/s
385. A ball is dropped from a building 100 m high. If the mass of the ball is 10
gm after what time will the ball strike the earth?
A. 4.52 s
B. 4.42 s
C. 5.61 s
D. 2.45 s
Answer: Option A. 4.52 s
386. A ball is dropped from the roof of a building 40 meters tall will hit the
ground with the velocity of;
A. 50 m/sec
B. 28 m/sec
C. 19.8 m/sec
D. 30 m/sec
Answer: Option B. 28 m/sec
387. Using a powerful air gun, a steel ball is shot vertically upward with a
velocity of 80 meters per second, followed by another shot after 5 seconds.
Find the initial velocity of the second ball in order to meet the first ball 150
meters from the ground.
A. 65.3 m/sec
B. 45.1 m/sec
C. 56.2 m/sec
D. 61.3 m/sec
Answer: Option D. 61.3 m/sec
388. A ball is thrown vertically upward from the ground and a student gazing
out of the window sees it moving upward pass him at 5 m/sec. The window is
10 m above the ground. How high does the ball go above the ground?
A. 15.25 m
B. 14.87 m
C. 9.97 m
D. 11.30 m
Answer: Option D. 11.30 m
389. A ball is dropped from a height of 60 meters above the ground. How long
does it take to hit the ground?
A. 2.1 sec
B. 3.5 sec
C. 5.5 sec
D. 1.3 sec
Answer: Option B. 3.5 sec
390. A baseball is thrown from a horizontal plane following a parabolic path
with an initial velocity of 100 m/s at an angle of 30° above the horizontal. How
far from the throwing point will the ball attain its original level?
A. 890 m
B. 883 m
C. 880 m
D. 875 m
Answer: Option B. 883 m
391. A plane dropped a bomb at an elevation of 1000 meters from the ground
intended to hit the target at an elevation of 200 meters from the ground. If the
plane was flying at a velocity of 300 km/hr, at what distance from the target
must the bomb be dropped to hit the target. Wind velocity and atmospheric
pressure to be disregarded.
A. 1024.2 m
B. 1055.6 m
C. 1075.5 m
D. 1064.2 m
Answer: Option D. 1064.2 m
392. The muzzle velocity of a projectile is 1500 fps and the distance of the
target is 10 miles. The angle of elevation of the gun must be:
A. 21° 59’
B. 22° 41’
C. 24° 43’
D. 25° 18’
Answer: Option C. 24° 43’
393. A shot is fired at an angle of 45 degrees with the horizontal and a velocity
of 300 fps. Calculate, to the nearest value, the range of the projectile.
A. 932 yards
B. 1200 yards
C. 3500 yards
D. 4000 yards
Answer: Option A. 932 yards
394. A projectile leaves a velocity of 50 m/s at an angle of 30 degrees with the
horizontal. Find the maximum height that it could reach.
A. 31.86 m
B. 31.28 m
C. 30.62 m
D. 30.12 m
Answer: Option A. 31.86 m
395. A shot is fired with an angle of 45° with the horizontal with a velocity of
300 ft/s. Find the maximum height and range that the projectile can cover,
respectively.
A. 800 ft, 1600 ft
B. 923 ft, 3500 ft
C. 700 ft, 2800 ft
D. 1800 ft, 3000 ft
Answer: Option C. 700 ft, 2800 ft
396. A ball is thrown from a tower 30 m high above the ground with a velocity
of 300 m/s directed at 20° from the horizontal. How long will the ball hit the
ground?
A. 21.2 s
B. 22.2 s
C. 23.2 s
D. 24.2 s
Answer: Option A. 21.2 s
397. In the last two second of NBA finals featuring Chicago Bulls VS Utah Jazz,
with the latter ahead by 2 points with the former 94-92 count. Bulls Michael
Jordan decides to shoot from a certain point on the rainbow territory which
counts 3 point if converted. During the play, if Jordan releases the ball at 7 m
from the basket and 2.15 m above the ground and an inclination of 40° with
the horizontal and assuming no block was made by the opponents, at what
velocity will the ball be given to cast the winning basket? The basket is 10 feet
from the ground.
A. 8.57 m/s
B. 8.86 m/s
C. 9.03 m/s
D. 9.27 m/s
Answer: Option C. 9.03 m/s
398. A projectile is fired with a muzzle velocity of 300 m/s from a gun aimed
upward at an angle of 20° with the horizontal, from the top of a building 30 m
high above a level ground. With what velocity will it hit the ground in m/s?
A. 298 m/s
B. 299 m/s
C. 300 m/s
D. 301 m/s
Answer: Option D. 301 m/s
399. A stone is thrown upward at an angle of 30° with the horizontal. It lands
60 m measured horizontally and 2 m below measured vertically from its point
of release. Determine the initial velocity of the stone in m/s.
A. 22.35 m/s
B. 23.35 m/s
C. 24.35 m/s
D. 25.35 m/s
Answer: Option D. 25.35 m/s
400. A wooden block having a weight of 50 N is placed at a distance of 1.5 m
from the center of a circular platform rotating at a speed of 2 radians per
second. Determine the minimum coefficient of friction of the block so that it
will not slide. Radius of the circular platform is 3 m.
A. 0.55
B. 0.58
C. 0.61
D. 0.65
Answer: Option C. 0.61