1. A woman who weighs 500 N is standing on a board that weighs 100 N
A woman who weighs 500 N is standing on a board that weighs 100 N. The board is supported at each end, and the support force at the right end is 3 times bigger than the support force at the left end. If the board is 8 m long, how far from the right end is the woman standing?
4.0 m
2.0 m
2.7 m
1.6 m 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

2. 5 rad/s2 15 rad/s2 25 rad/s2 35 rad/s2
An automobile accelerates from zero to 30 m/s in 6 s. The wheels have a diameter of 0.4 m. What is the angular acceleration of each wheel?
5 rad/s2
15 rad/s2
25 rad/s2
35 rad/s2 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

3. A bus is designed to draw its power from a rotating flywheel that is brought up to its maximum speed (3000 rpm) by an electric motor. The flywheel is a solid cylinder of mass 1000 kg and diameter 1 m (Icylinder = 1/2 MR3). If the bus requires an average power of 10 kilowatts, how long will the flywheel rotate?
308 s
617 s
925 s
1234 s 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

4. An 800 N billboard worker stands on a 4 m scaffold weighing 500 N and supported by vertical ropes at each end. How far would the worker stand from one of the supporting ropes to produce a tension of 550 N in that rope?
1.4 m
2.0 m
2.5 m
2.7 m 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

5. An 80 kg man is one-fourth of the way up a 10 m ladder that is resting against a smooth, frictionless wall. If the ladder is 20 kg and it makes an angle of 60° with the ground, find the force of friction of the ground on the foot of the ladder.
784 N
196 N
50 N
138 N 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

6. A 100 N uniform ladder of length 8 m rests against a smooth vertical wall. If the coefficient of static friction between ladder and floor is 0.40, what is the maximum angle that the ladder can make with the floor before it slips?
22°
51°
18°
42° 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

7. A meter stick is supported by a knife edge at the 50 cm mark and has masses of 0.40 and 0.60 kg hanging from the 20 cm and 80 cm marks, respectively. Where should a third mass of 0.30 kg be hung to keep the stick balanced?
20 cm
70 cm
30 cm
25 cm 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

8. An 800 N billboard worker stands on a 4 m scaffold supported by vertical ropes at each end. If the scaffold weighs 500 N and the worker stands 1 m from one end, what is the tension in the rope nearest the worker?
450 N
500 N
800 N
850 N 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

9. A 20 kg child wants to use a 10 kg board that is 4
A 20 kg child wants to use a 10 kg board that is 4.0 m long as a seesaw. Since all her friends are busy, she decides to seesaw by herself by putting the support at the center of gravity when she sits on one end of the board. How far from her will the support point be?
2.0 m
1.0 m
0.67 m
0.33 m 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

10. An astronaut is on a 100 m life-line outside a spaceship, circling the ship with an angular velocity of 0.1 rad/s. How far can she be pulled in before the centripetal acceleration reaches 5g = 49 m/s2 ?
10.1 m
50.0 m
72.7 m
89.9 m 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

11. A heavy bank vault door is opened by the application of a force of 300 N directed perpendicular to the plane of the door and 0.8 m from the hinges. What is the torque due to this force about an axis through the hinges?
120 N-m
240 N-m
300 N-m
360 N-m 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

12. A uniform bridge span weighs 50 x 103 N and is 40. 0 m long
A uniform bridge span weighs 50 x 103 N and is 40.0 m long. An automobile weighing 15 x 103 N is parked with its center of gravity located 12.0 m from the right pier. What upward support force is provided by the left pier?
29.5 x 103 N
35.5 x 103 N
65.0 x 103 N
32.5 x 103 N 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

13. Two hoops or rings (I = MR2) are centered, lying on a phonograph record. The smaller one has a radius of .05 m and the larger a radius of 0.1 m. Both have a mass of 3 kg. What is the total moment of inertia as the record turns around? Ignore the mass of the record.
0.030 kg-m2
kg-m 2
kg-m 2
0.075 kg-m 2 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

14. 3.70 rad/s2 7.35 rad/s2 2.45 rad/s2 4.90 rad/s2
If a long rod of length L is hinged at one end, the moment of inertia as the rod rotates around that hinge is ML2/3. A 2 m rod with a mass of 3 kg is hinged at one end, is held in a horizontal position, and then released as the free end is allowed to fall. What is the angular acceleration as it is released?
3.70 rad/s2
7.35 rad/s2
2.45 rad/s2
4.90 rad/s2 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

15. 5.42 radians/s 2.71 radians/s 1.22 radians/s 0.61 radians/s
A meter stick is hinged at its lower end and allowed to fall from a vertical position. If its moment of inertia is ML2/3, with what angular velocity does it hit the table?
5.42 radians/s
2.71 radians/s
1.22 radians/s
0.61 radians/s 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

16. A 40 kg boy is standing on the edge of a stationary 30 kg platform that is free to rotate. The boy tries to walk around the platform in a counterclockwise direction. As he does
the platform doesn't rotate.
the platform rotates in a clockwise direction just fast enough so that the boy remains stationary relative to the ground.
the platform rotates in a clockwise direction while the boy goes around in a counterclockwise direction relative to the ground.
both go around with equal angular velocities but in opposite directions. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

17. A grinding wheel with a moment of inertia of 2. 0 kg-m2 has a 2
A grinding wheel with a moment of inertia of 2.0 kg-m2 has a 2.5 N-m torque applied to it. What is its final kinetic energy 10 seconds after starting from rest?
312 J
237 J
156 J
106 J 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

18. 4.5 x 10-3 N-m 7.5 x 10-4 N-m 3.5 x 10-4 N-m 5.0 x 10-4 N-m
A phonograph record and turntable combination have a moment of inertia of 3.0 x 10-4 kg-m2 and rotate with an angular velocity of 3.5 rad/sec. What net torque must be applied to bring the system to rest within 3 s?
4.5 x 10-3 N-m
7.5 x 10-4 N-m
3.5 x 10-4 N-m
5.0 x 10-4 N-m 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

19. a smaller rotational rate a greater rotational rate
A figure skater with arms initially extended starts spinning on the ice at 3 rad/s. After she then pulls her arms into her body, which of the following results?
a smaller rotational rate
a greater rotational rate
a greater angular momentum
a smaller angular momentum 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

20. 25.0 kg-m2 /s 7.5 kg-m2 /s 4.0 kg-m2 /s 0.25 kg-m2 /s
A grinding wheel with a moment of inertia of 2.0 kg-m2 is initially at rest. What angular momentum will it have 10 s after a 2.5 N-m torque is applied to it?
25.0 kg-m2 /s
7.5 kg-m2 /s
4.0 kg-m2 /s
0.25 kg-m2 /s 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

21. The quantity, moment of inertia, in terms of the fundamental quantities (mass, length, time) is equivalent to which of the following?
ML2T-2 ML
ML2
ML-1T-2 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

22. The quantity, angular momentum, in terms of the fundamental quantities (mass, length, time) is equivalent to which of the following?
MLT-2
ML2T-1
ML2T-3
ML3T-4 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

23. If a net torque is applied to an object, that object will experience which of the following?
a constant angular velocity
an angular acceleration
a constant moment of inertia
an increasing moment of inertia 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

24. both the object's size and its moment of inertia
According to Newton's second law, the angular acceleration experienced by an object is directly proportional to which of the following?
its moment of inertia
the net applied torque
both the object's size and its moment of inertia
the object's size 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

25. 5.0 rad/sec2 2.0 rad/sec2 1.25 rad/sec2 0.2 rad/sec2
A grinding wheel with a moment of inertia of 2.0 kg-m2 has a net torque of 2.5 N-m applied to it. What angular acceleration does it experience?
5.0 rad/sec2
2.0 rad/sec2
1.25 rad/sec2
0.2 rad/sec2 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

26. the tangential velocities are the same.
The Earth's gravity exerts no torque on a satellite orbiting the Earth in an elliptical orbit. Compare the motion at the point nearest the Earth (perigee) to the motion at the point farthest from the Earth (apogee). At these two points
the tangential velocities are the same.
the angular velocities are the same.
the angular momentum is the same.
the kinetic energies are the same. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

27. the kinetic energy and angular momentum will both be greater.
The Earth's gravity exerts no torque on a satellite orbiting the Earth in an elliptical orbit. Compare the motion at the point nearest the Earth (perigee) to the motion at the point farthest from the Earth (apogee). At the point closest to the Earth
the angular velocity will be greatest although the linear speed will be the same.
the speed will be greatest although the angular velocity will be the same.
the kinetic energy and angular momentum will both be greater.
none of these. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

28. A solid cylinder (I = MR2/2) has a string wrapped around it many times
A solid cylinder (I = MR2/2) has a string wrapped around it many times. When I release the cylinder, holding on to the string, the cylinder falls and spins as the string unwinds. What is the downward acceleration of the cylinder as it falls?
4.9 m/s2
6.5 m/s2
9.8 m/s2 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

29. An astronaut is on a 200 m life-line circling the spaceship at two rev
An astronaut is on a 200 m life-line circling the spaceship at two rev. per min. The line is shortened until his speed reaches 50 m/s. How long is the life-line at that time?
8 m
50 m
141 m
168 m 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

30. A majorette takes two batons and fastens them together in the middle at right angles to make an "x" shape. Each baton was 0.8 m long and each ball on the end is 0.20 kg. (Ignore the mass of the rods.) What is the moment of inertia if the arrangement is spun around an axis through the center perpendicular to both rods?
0.064 kg-m2
0.096 kg-m2
0.128 kg-m2
0.320 kg-m2 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

31. 15.7 rad/s 27.1 rad/s 19.2 rad/s 28.6 rad/s
What must be an angular velocity of a cylinder (I = MR2/2) rolling on the ground at the bottom of a hill so that it will be able to roll to the top of the hill if the hill is 10 m long and 3 m high? The mass of the cylinder is 2 kg and the radius is 0.4 m.
15.7 rad/s
27.1 rad/s
19.2 rad/s
28.6 rad/s 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

32. A majorette takes two batons and fastens them together in the middle at right angles to make an "x" shape. Each baton was 0.8 m long and each ball on the end is 0.20 kg. (Ignore the mass of the rods.) What is the moment of inertia if the arrangement is spun around an axis formed by one of the batons?
0.048 kg-m2
0.064 kg-m2
0.192 kg-m2
0.320 kg-m2 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

33. A rotating flywheel can be used as a method to store energy
A rotating flywheel can be used as a method to store energy. If it has 10 x 105 J of kinetic energy when rotating at 400 rad/s, and if a frictional torque of 4.0 N-m acts on the system, in what interval of time would the flywheel come to rest?
3.5 min
7.0 min
14 min
21 min 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

34. An initially installed flywheel can store 106 J of kinetic energy when rotating at 300 rad/s. It is replaced by another flywheel of the same size but made of a lighter and stronger material. If its mass is half that of the original and it is now capable of achieving a rotational velocity of 600 rad/s, what maximum energy can be stored?
40 x 105 J
20 x 105 J
10 x 105 J
5.0 x 105 J 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

35. A rotating flywheel can be used as a method to store energy
A rotating flywheel can be used as a method to store energy. If it is required that such a device be able to store up to a maximum of 10 x 105 J when rotating at 400 rad/s, what moment of inertia is required?
50 kg-m2
25 kg-m2
12.5 kg-m2
6.3 kg-m2 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

36. A phonograph turntable has a moment of inertia of 2
A phonograph turntable has a moment of inertia of 2.5 x 10-2 kg-m2 and spins freely on a frictionless bearing at 33.3 rev/min. A 0.25 kg ball of putty is dropped vertically on the turntable and sticks at a point 0.20 m from the center. By what factor does the kinetic energy of the system change after the putty is dropped onto the turntable?
0.71
1.00
0.82
1.50 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

37. A cylinder with its mass concentrated toward the center has a moment of inertia of 0.1 MR2. If this cylinder is rolling without slipping along a level surface with a linear velocity v, what is the ratio of its rotational kinetic energy to its linear kinetic energy?
1/10
1/5
1/2
1/1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

38. A solid sphere with mass, M, and radius, R, rolls along a level surface without slipping with a linear velocity, v. What is the ratio of rotational to linear kinetic energy? (For a solid sphere, I = 0.4 MR2)
1/4
1/2
1/1
2/5 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

39. A phonograph turntable has a moment of inertia of 2
A phonograph turntable has a moment of inertia of 2.5 x 10-2 kg-m2 and spins freely on a frictionless bearing at 33.3 rev/min. A 0.25 kg ball of putty is dropped vertically on the turntable and sticks at a point 0.20 m from the center. By what factor does the angular momentum of the system change after the putty is dropped onto the turntable?
1.22
1.00
0.82
1.50 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

40. A figure skater on ice with arms extended, spins at a rate of 2
A figure skater on ice with arms extended, spins at a rate of 2.0 rev/s. After she draws her arms in, she spins at 5 rev/s. By what factor does her moment of inertia change in the process?
2.5
3.0
0.4
0.2 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

41. A figure skater on ice with arms extended, spins at a rate of 2
A figure skater on ice with arms extended, spins at a rate of 2.0 rev/s. After she draws her arms in, she spins at 5 rev/s. By what factor does the skater's kinetic energy change when she draws her arms in?
2.5
3.0
0.4
0.2 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

42. A gyroscope has a moment of inertia of 0
A gyroscope has a moment of inertia of 0.14 kg-m2 and has an initial angular velocity of 15 rad/s. If a lubricant is applied to the bearings of the gyroscope so that frictional torque is reduced to 2.0 x 10-2 N-m, then in what time interval will the gyroscope coast from 15 rad/s to zero?
150 s
105 s
90 s
180 s 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

43. 40.8 rev/min 23.8 rev/min 33.3 rev/min 27.2 rev/min
A phonograph turntable has a moment of inertia of 2.5 x 10-2 kg-m2 and spins freely on a frictionless bearing at 33.3 rev/min. A 0.25 kg ball of putty is dropped vertically on the turntable and sticks at a point 0.20 m from the center. What is the new rate of rotation of the system?
40.8 rev/min
23.8 rev/min
33.3 rev/min
27.2 rev/min 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

44. A solid cylinder with a mass of 3. 0 kg and radius of 0
A solid cylinder with a mass of 3.0 kg and radius of 0.2 m, starts from rest at the top of a ramp, inclined at 15°, and rolls to the bottom without slipping. (For a cylinder I = 0.5MR2) The upper end of the ramp is 1.2 m higher than the lower end. What would the linear velocity of the cylinder be at the bottom? (g = 9.8 m/s2)
4.7 m/s
4.3 m/s
4.0 m/s
2.4 m/s 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

45. 3.3 x 10-2 N-m 8.1 x 10-2 N-m 14.0 x 10-2 N-m 7.0 x 10-2 N-m
A gyroscope has a moment of inertia of 0.14 kg-m2 and has an initial angular velocity of 15 rad/s. Friction in the bearings causes its velocity to reduce to zero in 30 s. What is the value of the frictional torque?
3.3 x 10-2 N-m
8.1 x 10-2 N-m
14.0 x 10-2 N-m
7.0 x 10-2 N-m 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

46. A solid sphere with a mass of 4. 0 kg and radius 0
A solid sphere with a mass of 4.0 kg and radius 0.12 m, starts from rest at the top of a ramp inclined at 15°, and rolls to the bottom. The upper end of the ramp is 1.2 m higher than the lower end. What is the linear velocity of the sphere when it reaches the bottom of the ramp? (Note: I = 0.4MR2 for a solid sphere and g = 9.8 m/s2)
4.7 m/s
4.1 m/s
3.4 m/s
2.4 m/s 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

47. A bucket filled with water has a mass of 23 kg and is attached to a rope which in turn is wound around a 0.05 m radius cylinder, with crank, at the top of a well. The moment of inertia of the cylinder and crank is 0.12 kg-m2. The bucket and water are first raised to the top of the well and then released to fall back into the well. What is the kinetic energy of the cylinder and crank at the instant the bucket is moving with a speed of 7.9 m/s?
2.1 x 103 J
1.5 x 103 J
0.7 x 103 J
0.4 x 103 J 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

48. A solid sphere with a mass of 4. 0 kg and radius 0
A solid sphere with a mass of 4.0 kg and radius 0.12 m, starts from rest at the top of a ramp inclined at 15°, and rolls to the bottom. The upper end of the ramp is 1.2 m higher than the lower end. What is the total kinetic energy of the sphere when it reaches the bottom? (g = 9.8 m/s2 and assume that it rolls without slipping.)
70.0 J
47.0 J
18.0 J
8.8 J 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

49. 39 rad/s 79 rad/s 118 rad/s 158 rad/s
A bucket filled with water has a mass of 23 kg and is attached to a rope which in turn is wound around a 0.05 m radius cylinder at the top of a well. The bucket and water are first raised to the top of the well and then released. The bucket and water are moving with a speed of 7.9 m/s upon hitting the water surface in the well below. What is the angular velocity of the cylinder at this instant?
39 rad/s
79 rad/s
118 rad/s
158 rad/s 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

50. A uniform, horizontal beam of length 6 m and weight 120 N is attached at one end to a wall by a pin connection (so that it may rotate). The opposite end is supported by a cable attached to the wall above the 3 pin. The cable makes an angle of 60° with the horizontal. What is the tension in the cable needed to maintain the beam in equilibrium?
35 N
69 N
60 N
120 N 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

51. A bucket filled with water has a mass of 23 kg and is attached to a rope which in turn is wound around a 0.05 m radius cylinder at the top of a well. A crank with a turning radius of 0.25 m is attached to the end of the cylinder. What minimum force directed perpendicular to the crank handle is required to raise the bucket and water? (Assume the rope's mass is negligible, that cylinder turns on frictionless bearings, and that g = 9.8 m/s2)
45 N
68 N
90 N
135 N 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

52. A bucket filled with water has a mass of 23 kg and is attached to a rope which in turn is wound around a 0.05 m radius cylinder at the top of a well. A crank with a turning radius of 0.25 m is attached to the end of the cylinder and the moment of inertia of cylinder and crank is 0.12 kg-m2. If the bucket and water are first raised to the top of the well and then released, what is the acceleration of bucket and water as they fall toward the bottom of the well? (Assume rope's mass is negligible, that cylinder turns on frictionless bearings and that g = 9.8 m/s2)
4.7 m/s2
6.3 m/s2
7.4 m/s2
9.8 m/s2 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

53. A bucket filled with water has a mass of 23 kg and is attached to a rope which in turn is wound around a 0.05 m radius cylinder at the top of a well. What torque does the weight of water and bucket produce on the cylinder? (g = 9.8 m/s2)
33.7 N-m
17.0 N-m
11.3 N-m
22.6 N-m 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

54. 1.5 x 10-2 kg-m2 16 x 10-2 kg-m2 4.0 x 10-2 kg-m2 7.6 x 10-2 kg-m2
A baseball pitcher, loosening up his arm before a game, tosses a 0.15 kg ball using only the rotation of his forearm, 0.32 m in length to accelerate the ball. What is the moment of inertia of the ball alone, as it moves in a circular arc with a 0.32 meter radius?
1.5 x 10-2 kg-m2
16 x 10-2 kg-m2
4.0 x 10-2 kg-m2
7.6 x 10-2 kg-m2 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

55. A baseball pitcher, loosening up his arm before a game, tosses a 0
A baseball pitcher, loosening up his arm before a game, tosses a 0.15 kg ball using only the rotation of his forearm, 0.32 m in length, to accelerate the ball. If the ball starts at rest and is released with a speed of 12 m/s in a time of 0.4 s, what torque is applied to the ball while being held by the pitcher's hand to produce the angular acceleration?
1.1 N-m
10.8 N-m
7.2 N-m
1.44 N-m 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

56. 0.067 rad/sec2 94 rad/sec2 15 rad/sec2 37 rad/sec2
A baseball pitcher, loosening up his arm before a game, tosses a 0.15 kg ball using only the rotation of his forearm, 0.32 m in length, to accelerate the ball. If the ball starts at rest and is released with a speed of 12 m/s in a time of 0.4 s, what is the average angular acceleration of the arm and ball?
0.067 rad/sec2
94 rad/sec2
15 rad/sec2
37 rad/sec2 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

57. None of these choices are valid
The Earth moves about the Sun in an elliptical orbit. As the Earth moves closer to the Sun, then which of the following best describes the Earth-Sun system's moment of inertia?
decreases
increases
remains constant
None of these choices are valid 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

58. 0.8 rad/s 10.0 rad/s 0.05 rad/s 40.0 rad/s
A bowling ball has a mass of 7.0 kg, a moment of inertia of 2.8 x 10-2 kg-m2 and a radius of 0.10 m. If it rolls down the lane without slipping at a linear speed of 4.0 m/s, what is its angular velocity?
0.8 rad/s
10.0 rad/s
0.05 rad/s
40.0 rad/s 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

59. A bowling ball has a mass of 7. 0 kg, a moment of inertia of 2
A bowling ball has a mass of 7.0 kg, a moment of inertia of 2.8 x 10-2 kg-m2 and a radius of 0.10 m. If it rolls down the lane without slipping at a linear speed of 4.0 m/s, what is its total kinetic energy?
44.8 J
32.0 J
11.2 J
78.4 J 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

60. The total kinetic energy of a baseball thrown with a spinning motion is a function of which of the following?
its linear velocity but not rotational velocity
its rotational velocity but not linear velocity
both linear and rotational velocities
neither linear nor rotational velocity 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50