Principles Of Engineering™
Final Examination
Part A
Spring 2009
Student Name: ___________________________________
Date: _____________________
Class Period: _____________
Total Points:
Converted points:
____________/50
_____________/40
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Directions: This is a CLOSED BOOK/CLOSED NOTES exam. Select the letter of the
response which best completes the item or answers the question. Then record your
answer on the answer sheet provided for Part A. Reference Tables are available at
the end of the document.
1.
Which of the following engineering achievements occurred first?
A. Development of the catapult
C. Development of stone bridges that
incorporated wood stringers
B. Development of methods to
D. Development of the water wheel
create fire at will
2.
An engineering technician would generally be more involved in ________ than
would an engineer.
A. researching a product idea
C. conducting complex analysis
B.
the initial design of a product
Figure 1a
D.
servicing and maintaining equipment
Figure 1b
3.
Figure 1a represents a(n) _____________ drawing and figure 1b represents a(n)
_____________ drawing.
A. isometric, orthographic
C. cabinet oblique, orthographic
B. orthographic, isometric
D. isometric, cavalier oblique
4.
_____________ is freehand drawing, which is done without the use of drafting
equipment.
A. CAD
C. Sketching
B. Dodging
D. Board drafting
5.
Given the total population of five counties, which visual representation would be
most appropriate if you want to demonstrate percentages of people in each
county?
A. Pie chart
C. Line graph
B. X,Y scatter plot
D. Spreadsheet
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Figure 3
6.
The wheelbarrow shown in Figure 3 represents what type of simple machine?
A. Class 1 Lever
C. Class 3 Lever
B.
Class 2 Lever
D.
Wheel and Axle
Figure 4
7.
Given the pulley configuration shown in Figure 4, how many pounds of effort force
would a user have to exert on the rope to lift the 60 lb load?
A.
15 lbs
C. 25 lbs
B.
30 lbs
D. 20 lbs
Figure 5
8.
A POE student is using the ramp shown in Figure 5 to raise an object 4 feet above
the ground. The mechanical advantage of the ramp is _____________.
A. 0.316
C. 3.0
B.
1.05
D.
3.163
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Figure 6
9.
Study the gear train in Figure 6. The purpose of the center gear is to
_____________.
A. change the direction of
C. maintain the direction of rotation from
rotation from the input to the
the input to the output gear
output gear
B. decrease the rotational output D. increase the rotational output
Figure 7
10.
Figure 7 represents a belt-driven system. Pulley B, which has a diameter of 16
inches, is being driven by pulley A, which has a diameter of 4 inches. If pulley A is
spinning at 60 RPMs, then pulley B is spinning at _____________ RPMs.
A. 240
C. 4
B. 15
D. 64
11.
In a third class lever, the distance from the effort to the fulcrum is _____________
the distance from the load/resistance to the fulcrum.
A. greater than
C. less than
B. less than or equal to
D. greater than or equal to
12.
Which of the following methods of heat transfer describes how heat from inside a
home is lost to the outside through the walls on a cold day?
A. Convection
C. Radiation
B. Conduction
D. R-value
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13.
A pneumatic device is a machine that derives its mechanical advantage from
_____________.
A. compressed air
C. gears
B.
compressed liquid
D.
pulleys
14.
_____________ states that a force exerted on a fluid will be transferred equally
against the walls of that fluid’s container.
A. Pascal’s Law
C. Boyle’s Law
B. Bernoulli’s Law
D. Charles’s Law
15.
If one light bulb burns out in a string of lights and the rest stay lit, it is reasonable
to assume that the lights are wired in _____________.
A. series
C. order
B. line
D. parallel
Figure 8
16.
Study the circuit in Figure 8. Which of the following electrical properties is being
measured by the multimeter?
A. Resistance
C. Current
B. Voltage
D. RPMs
17.
In a control system, _____________ provide feedback on the condition of the
operating environment.
A. sprockets
C. gears
B.
18.
motors
D.
sensors
Which of the following digital control devices processes the input information from
sensors?
A. Microprocessor
C. Algorithm
B. Variable resistor
D. Flowchart program
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Figure 9
19.
If electrical wires are connected to ports 1 and 3 on the limit switch in Figure 9,
then the switch will be wired normally- _____________.
A. common
C. closed
B. open
D. neutral
20.
Which of the following is a light-sensitive input device?
A. Lamp
C. Phototransistor
B. Reed switch
D. Electromagnet
21.
A sketch showing a single object with all of the surrounding parts removed to
expose the external forces is called a _____________.
A. stress-strain diagram
C. system diagram
B. load-deflection diagram
D. free body diagram
22.
The torque on an object, also known as its moment, is calculated using the
formula _____________.
A. Force / Area
C. Mass * Acceleration
B.
23.
Force * Perpendicular
Distance
D.
Weight * Area
Figure 10
In the structural system shown in Figure 10, Member B is experiencing
_____________.
A. compression
C. shear
B.
tension
D.
torque
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24.
Static equilibrium occurs in a truss system when the sum of the _____________
is equal to zero.
A. velocities
C. member lengths
B. scalars
D. forces and moments
25.
When comparing different support beams (made of the same material) for
stiffness, it is best to compare their _____________.
A. cross-sectional areas
C. Modulus of Elasticity
B.
height-to-width ratio
D.
weights
26.
__________ materials would be attracted to a magnet.
A. Ferrous
C. Non-ferrous
B. Polymer
D. Organic
27.
Which of the following materials is considered synthetic?
A. Oil
C. Plastic
B. Wood
D. Iron
Figure 11
28.
Figure 11 shows a 100 lb normal force being applied to a 10 in. diameter cylinder.
What is the resulting compressive stress in the cylinder?
A. 10 psi
C. 0.88 psi
B. 8.33 psi
D. 1.27 psi
29.
Which one of the following manufacturing tools is used to create parts from
heated plastic?
A. Milling machine
C. Injection molder
B. Lathe
D. Drill press
30.
Which one of the following manufacturing processes is used to form a piece of
metal into a predetermined shape through the application of pressure?
A. Turning
C. Annealing
B. Forging
D. Threading
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31.
Using a dial caliper, the following seven diameters were obtained for a dogbone
aluminum tensile test sample: 0.120, 0.123, 0.121, 0.122, 0.118, 0.122, and
0.119. What is the median value for this group of numbers?
A. 0.119
C. 0.121
B.
0.120
D.
0.122
Figure 12
32.
The dial caliper in Figure 12 is showing a measurement of _____________
inches.
A. 0.875
C. 0.757
B. 0.750
D. 0.775
33.
The process of loading a material to the point of failure for the purpose of
collecting data on that material’s physical properties is known as _____________.
A. the offset method
C. statistical process control
B. destructive testing
D. non-destructive testing
34.
A material that experiences very little plastic deformation prior to rupture or
fracture would be referred to as a _____________ material.
A. brittle
C. tensile
B. chip-forming
D. ductile
35.
The probability of satisfactory operation of a product in a given environment over
a specified time interval is referred to as _____________.
A. reliability
C. system failure
B. liability
D. redundancy
36.
_____________ provide a means for analyzing documented events such as
engineering disasters and the ethical dilemmas associated with them.
A. Resumes
C. Free body diagrams
B. Design briefs
D. Case studies
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37.
38.
A free-falling object will experience a constant increase in speed per unit time.
This is referred to as _____________ due to gravity.
A. velocity
C. acceleration
B. displacement
D. force
Figure 13
Which of the four launch angles of the ballistic device shown in Figure 13 will the
ping pong ball theoretically (no air resistance) go the farthest?
A. 20°
C. 60°
B.
40°
D.
80°
39.
When a projectile is thrown, the _____________ component of its initial velocity
will remain constant throughout its flight.
A.
horizontal
C. vertical
B.
Y
D. Z
40.
Neglecting air resistance, the path that is formed by a projectile with a horizontal
component velocity will take the shape of a(n) _____________.
A.
circular curve
C. hyperbolic curve
B.
elliptical curve
D. parabolic curve
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POE Exam Reference Tables
Circular Shapes
Formulas
C = π×D
A = π×r2
Variables
C = Circumference
π = 3.14
D = Diameter
A = Area
r = Radius
Electrical Systems
Formulas
Variables
E = Voltage
I = Current
R = Resistance
E = I×R
Simple Machines
Formulas
MA = R ÷ E
Lever MA = LE ÷ LR
Wheel and Axle MA = rw ÷ ra
Pulley MA = Total number of strands supporting the
load
Inclined Plane or Wedge MA = L ÷ H
Screw MA = C ÷ Pitch
Pitch = 1 ÷ TPI
Variables
MA = Mechanical advantage
R = Resistance force
E = Effort force
LE = Length from fulcrum to effort
LR = Length from fulcrum to resistance
L = Slope length
H = Inclined plane height or wedge thickness
C = Circumference
Pitch = Screw pitch
TPI = Threads per inch
rw = Wheel radius
ra = Axle radius
Statics
Formulas
M = ⊥F×D
ΣFX = 0 = X (right) + X (left)
ΣFY = 0 = Y (up) + Y (down)
SM = 0 = CCW + CW
Variables
M = Moment about a point
⊥F = Perpendicular force
D = Perpendicular distance
Σ= sum of
CCW = Counter-clockwise moment
CW = Clockwise moment
Right Triangle Ratios
Formulas
Variables
sin θ = Opposite ÷ hypotenuse
cos θ = Adjacent ÷ hypotenuse
θ = Angle
tan θ = Opposite ÷ adjacent
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Properties of Materials
Formulas
Variables
δ = Deformation
σ = Stress
∈ = Strain
E = Modulus of elasticity, Young’s Modulus
P = Axial force
Ao = Original area
Lo = Original test length
Δ = Change in
σ = P ÷ Ao
∈ = δ ÷ Lo
δ = (P×L) ÷ (Ao×E)
E = Δσ ÷ Δ∈
E = ((P1-P2)×Lo) ÷ (( δ 1-δ2)×Ao)
Kinematics
Formulas
Variables
VI = Initial velocity
VIX = Initial horizontal velocity
VIY = Initial vertical velocity
θ = Initial trajectory angle
g = Acceleration due to gravity
X = Range
Note:
θ is measured from the horizontal plane
Gear Ratios
Formulas
GR = Input Rate ÷ Output Rate
GR = Nout ÷ Nin
SR = Win ÷ Wout
Win / Wout = Dout ÷ Din
Tin / Tout = Din ÷ Dout
Variables
GR = Gear ratio
Nin = Number of teeth on driver gear
Nout = Number of teeth on driven gear
Din = Driver gear diameter, in
Dout = Driven gear diameter, in
Win = Driver gear speed, rpm
Wout = Driven gear speed, rpm
Tin = Torque of driver gear, ft lbs.
Tout = Torque of driven gear, ft lbs.
SR = Speed ratio
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