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ENGINEERING MECHANICS REFRESHER SET
SITUATION 1: The mass of the boat and its passengers is 1180 kg. The boat moves on a circular path of R =
24 m. at a constant speed of 6m/s.
1.
What is the tangent component of the total force acting on the boat?
a. 6 kN
b. 3.5
c. 2.5
d. 0
2.
What if the normal component of total force acting on the boat?
a. 1.77 kN
b. 2.35
c. 3.7
d. 0.98
3.
If the boat is moving at a speed of 6 6 m/s at current instant and is increasing its speed at 2
m/s^2 , what is the magnitude of the sum of the external forces acting on the boat that includes
its weight?
a. 2.84 kN
b. 2.95
c. 3.17
d. 1.48
4.
The tripod supports the load W as shown in the figure. Determine the maximum load “W” that can be
supported by the tripod if the capacity of each leg is limited to 10 kN.
a. 45 kN
b. 30
c. 23
d. 3.33
SITUATION 2: The uniform rod shown in the figure weighs 420 N and has its center of gravity at G.
5.
6.
7.
Determine the tension of the rod.
a. 180 N
b. 254.56
c. 240
d. 1260
Determine the normal force above the rod.
a. 180 N
b. 254.56
c. 240
d. 1260
Determine the reaction at the bottom of the rod.
a. 180 N
b. 254.56
c. 240
d. 1260
SITUATION 3: Answer the following terms in engineering mechanics.
8.
What is the branch of engineering mechanics which refers to the study of stationary rigid body?
a. Statics
b. Kinetics
c. Kinematics
d. Dynamics
9.
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
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10. “Two forces acting on a particle may be replaced by a single force called resultant which can be
obtained by drawing diagonal of parallelogram which has the sides equal to the given forces”. This
statement is known as:
a. Pappus Propositions
c. Parallelogram Law
b. Principle of Transmissibility
d. Varignon’s Theorem
SITUATION 4: The 80 lb block is attached to link AB and rests on a moving belt. Knowing that μs = 0.25 and
μk = 0.20 ,
11. Calculate the reaction R that should be applied to the belt to maintain its motion to the right.
a. 75.54 lb
b. 95.23
c. 100.78
d. 56.18
12. Calculate the reaction R that should be applied to the belt to maintain its motion to the left.
a. 55.75 lb
b. 64.43
c. 74.14
d. 81.23
13. Calculate the horizontal force P that should be applied to the belt to maintain its motion to the
left?
a. 14.34 lb
b. 18.72
c. 20.06
d. 21.35
SITUATION 5: The 10 m ladder weighing 35 kg is resting on a horizontal floor at A and on the wall at B
making an angle of 60° from the horizontal. The coefficient of friction of all surfaces is 0.25.
14. Determine the distance “x” to which the 72 kg man can climb the ladder without causing the ladder
to slip at its lower end A.
a. 3.5 m
b. 4.5
c. 6
d. 10
15. Determine the reaction at the wall at B.
a. 212.7 N
b. 254.6
c. 280.7
16. Determine the reaction at the horizontal floor at A.
a. 1157.5 N
b. 1230.6
c. 954.9
d. 312.5
d. 1018.5
SITUATION 6: A force P of magnitude 280 N is applied to member ABCD, which is supported by a frictionless
pin at A and by the cable CED. Since the cable passes over a small pulley at E, the tension may be assumed
to be the same portions CE and ED of the cable. For the case when a = 3 m,
17. Determine the tension in the cable.
a. 900 N
b. 875
c. 860
d. 850
18. Determine the vertical reaction at A.
a. 1850 N
b. 1720
c. 1460
d. 1120
19. Determine the angle of the reaction.
a. 60°
b. 36.87°
c. 45°
d. 53.13°
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SITUATION 7: In the truss shown,
20. Determine the force DE.
a. 1.20 kN(T)
b. 1.2 (C)
c. 1.34 kN (T)
d. 1.34 (C)
21. Determine the force CE.
a. 1.34 kN (T)
b. 2.10 (C)
c. 0
d. 1.27 (T)
22. Determine the force EB.
a. 1.34 kN (C)
b. 1.27 (C)
c. 0
d. 2.1 (C)
SITUATION 8: Spring CD remains in the horizontal position at all times due to the roller at D. If the
spring is unstretched when θ = 0° and the bracket achieves its equilibrium position when θ = 30°,
23. Determine the stiffness k of the spring.
a. 1.75 kN/m
b. 1.33
c. 1.87
d. 1.16
24. Determine the vertical component at A.
a. 250 N
b. 285
c. 290
d. 300
25. Determine the horizontal component at A.
a. 374.15 N
b. 384.27
c. 398.21
d. 412.29
SITUATION 9: A crane cable is supporting a 100 kN load as shown below:
26. Find the tension in cable CD.
a. 74.87 kN
b. 53.84
c. 91.65
d. 86.78
27. Find the tension in cable CE.
a. 53.44
b. 61.84
c. 57.79
d. 77.61
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28. Find the force F.
a. 250 kN
b. 100
c. 83.56
d. 91.79
SITUATION 10: The three bodies A, B, and C weighs 50 N,100 N, and 150 N respectively. If they are
supported in the position shown and then released simultaneously, neglecting mass of chords and pulleys.
29. Calculate the acceleration of block A.
a. 3.462 m/s^2
b. 0.576
c. 4.038
d. 9.81
30. Calculate the acceleration at block B.
a. 2.886 m/s^2
b. 2
c. 3
d. 0.576
31. Calculate the acceleration at block C.
a. 4.038 m/s^2
b. 6
c. 2.886
d. 0.576
SITUATION 11: Assume that each member of the truss is made of steel having a mass per length of 4 kg/m.
Set P = 0, neglect the weight of the gusset plates and assume each joint is a pin.
32. Find member AE.
a. 414 N T
b. 226 C
c. 411 T
d. 372 C
33. Find member AB.
a. 332 N T
b. 196 C
c. 226 T
d. 332 C
34. Find member BE.
a. 411 C
b. 226 T
c. 196 C
d. 414 T
SITUATION 12: A beam is loaded shown in the figure.
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35. Determine the resultant load.
a. 30 kN
b. 45
c. 50
d. 65
36. Determine the location of the resultant load from the left support.
a. 3.75 m
b. 4.20
c. 4.5
d. 3.5
37. Determine the reaction at the left support.
a. 45 kN
b. 35
c. 25
d. 50
38. In the figure shown, compute the product moment of inertia.
a. 3.2 x 10^6 mm^4
b. 2.4 x 10^6
c. 4.7 x 10^6
d. 6.0 x 10^6
SITUATION 13: Name the Physicists on the principles of mechanics as stated.
39. He studied the effects of dry friction which occurs between the contacting surfaces of bodies when
there is no fabricating fluid.
a. Newton
b. Varignon
c. Coulomb
d. Bernoulli
40. He is a Swiss mathematician known for restating Pappus’ Theorems
a. Newton
b. Einstein
c. Descartes
d. Guldinus
41. He devised the priniciple of resultant of the external forces applied to a body which is equal to
the vector summnation of the effective forces acting on all particles.
a. Galilei
b. Pascal
c. Archimedes
d, D’Alembert
SITUATION 14: A 4 kg ball and a 3 kg ball move on a smooth horizontal plane along a straight line path
with speeds of +6 and -8 m/s, respectively.
42. Determine the speed of the 3 kg ball after impact if the impact is inelastic or plastic.
a. 0.5 m/s
b. 2.5
c.0
d. 3
43. Determine the speed of the 3 kg ball after impact if the impact is elastic.
a. -8 m/s
b. +8
c. +6
d. -6
44. Determine the speed of the 3 kg ball after impact if the coefficient of restitution is 0.5.
a. +3
b. -3
c. +4
d. -4
SITUATION 15: In the figure shown,
45. Calculate the reaction at A.
a. 1315.7 N
b. 1022.2
c. 957.8
d. 1160.8
46. Calculate the location of the maximum moment from the left support.
a. 0.3 m
b. 0.9
c. 0.661
d. 0.479
47. Calculate the maximum moment.
a. 277 kN.m
b. 0
c. 684
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d. 577
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SITUATION 16: The cylinder shown are equal in diameter and have weights as indicated in the figure.
48. Calculate the reaction between the two cylinders.
a. 900 N
b. 1500
c. 1000
d. 3800
49. Calculate the reaction at A.
a. 900 N
b. 2656
c. 2000
d. 1732
50. What is the reaction at D?
a. 2000 N
b. 4732
c. 2194
d. 1000
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