Certified Industrial Engineer (CIE) Examination Review Course Assessment Examination - Mechanics

1. A box is being pushed with a force of 40 lbs having an angle of 30° with the horizontal. Using a scale 1 in = 10 lbs, find the horizontal and vertical components of the forcce?

a. Fx = 32.6 lbs, Fy = 34.6 lbs b. Fx = 36.0 lbs, Fy = 36.0 lbs c. Fx = 34.6 lbs, Fy = 20 lbs d. Fx = 34.6 lbs, Fy = 37.6 lbs

2. A hammer of a pile driver weights 1000 lb and must be lifted a vertical distance of 6 ft in 3 sec. What horsepower engine is required?

a. 5.34 hp b. 3.64 hp c. 4.63 hp d. 6. 43 hp

3. A batted baseball leaves the bat at an angle of 30° above the horizontal and is caught by an

outfielder 400 ft from the plate. What was the initial velocity of the ball? a. 116 ft/sec b. 128 ft/sec c. 122 ft/sec d. 126 ft/sec

4. An object is thrown vertically upward. It has a speed of 32 ft/sec when it has reached one-half

its maximum height. How high does it rise? a. 28 ft b. 30 ft c. 32 ft d. 34 ft

5. A river flows due North with a velocity of 3 mph. A man rows a boat across the river, his velocity

relative to the water being 4 mph, due East. What is his velocity relative to the Earth? a. 3 mph b. 4 mph c. 5 mph d. 8 mph

6. If a force of 86 lb parallel to the surface of a 20° inclined plane will push a 120 lb block up the

plane at constant speed, what force parallel to the plane will push it down at constant speed? a. 4 lb b. 45.1 lb c. 86.5 lb d. 40.04 lb

7. A car moving at 70 km/hr has a mass of 1700 kg. What force is necessary to decelerate it a rate of 40 cm/s2?

a. 4250 N b. 0.680 N c. 680 N d. 42.5 N

8. A man keeps a 1 kg toy airplane flying horizontally in a circle by holding onto 1.5 m long string

attached to its wing tip. The string is always in the plane of the circular flight plane. If the plane flies at 10 m/sec, find the tension in the string.

a. 28 N b. 15 N c. 67 N d. 18 N

9. What average horsepower is developed by a 180 lb man when climbing in 10 sec a flight of stairs

which rises 20 ft vertically? Express this power in kilowatts. a. 0.974 b. 0.378 c. 1.466 d. 0.488

10. The muzzle velocity of a particle is 1500fps and the distance of the target is 10mi. The angle of

elevation of the gun must be? a. 10.47 b. 49.05 c. 24.52 d. 35.87

Answer key: 1. Fx = 40cos30°= 34.64 lbs

Fy = 40sin30° = 20 lbs 2.

hpP

slbft

hp

s

lbft

t

Fd

time

WorkP

64.3

550

1

3

61000

3.

sec/95.121

54.872,14

2.32

)302sin(400

2sin

0

2

0

2

0

2

0

ftV

V

V

g

VR

4.

ftH

H

hH

fth

h

ghVV

2.32

)1.16(2

2

1.16

)2.32(2320

2

max

max

max

2

2

0

2

5.

87.365

04903

R

R

6.

399.0

76.11220sin120860

plane theup

76.11220cos120

o

o lbN

lbP

P

lb...F

o

95.3

99.4420sin1200

plane down the

9944761123990

7.

NF

cm

m

s

cmkgF

maF

680

100

1401700

2

8.

NT

T

r

VmmaT n

67.66

5.1

101

2

2

9.

kW

hp

kWhpftlb

t

Fd

time

workP

lbsft

488.0

1

746.0

550

1

sec10

20180

sec

10.

52.24

05.492

2.32

2sin1500

1

28.3

1

1000

1

609.110

2sin

2

2

0

m

ft

km

m

mi

kmmi

g

VR