1. A solid cylinder with a radius of 4
A solid cylinder with a radius of 4.0 cm has the same mass as a solid sphere of radius R. If the cylinder an the sphere have the same moment of inertia about their center, what is the sphere’s radius?

2. A bicycle rim has a diameter of
A bicycle rim has a diameter of .65 m and a moment of inertia measure about its center of 0.19 kgm2. What is the mass of the rim?

3. Calculate the moment of inertia of the Earth due to its daily rotation about its own axis. The mass of the Earth is X kg.

4. A playground merry-go-round makes 4. 00 rotations in 6. 00 s
A playground merry-go-round makes 4.00 rotations in 6.00 s. Calculate the angular speed in rad/s. If the merry-go-round is disk-shaped with a mass of 115 kg and a diameter of 3.5 m, calculate its moment of inertia.

5. Calculate the angular momentum of the Earth in its orbit around the sun. The mass of the Earth is X 1024 kg. The distance between the Sun and the Earth is 1.5 X 1011 m.

6. A ball, shaped like a thin spherical shell, is released from a position 5 m above the ground. It rolls down an inclined plane. Calculate the velocity of the sheet at the bottom of the ramp. The moment of inertia of a sphere is 2/3mR2.

7. When a torque of magnitude 32
When a torque of magnitude 32.0 Nm is applied to a certain wheel, it acquires an angular acceleration of 25.0 rad/s2. What is the moment of inertial of the wheel?

8. A flywheel (disk) initially spinning at 1850 rpm counterclockwise is brought to rest in 3.0 minutes. What is the wheel’s average angular acceleration? What is the angular displacement of the flywheel during this acceleration? If the flywheel has a mass of 155 kg and a radius of m, what torque is required to accelerate it?

9. A heavy flywheel rotating counterclockwise about its middle at an original speed of rad/s is slowing down because of friction in its bearings. If its acceleration is constant at rad/s2, find its angular velocity at the end of 1.00 minutes. The flywheel is 5.50 m in diameter and has a mass of 985 kg. If the flywheel resembles a uniform disk, find the torque applied to it by friction.

10. A piece of machinery with a moment of inertia of 2
A piece of machinery with a moment of inertia of 2.5 kgm2 rotates with a constant angular speed of 4.0 rad/s. A bolt loosens, causing a part of it to shift outward from the rotation axis, increasing the moment of inertia by 1.0 kgm2. What would the new angular speed of the machinery be?

11. A bowling ball has a mass of 5. 5 kg and a radius of 12. 0 cm
A bowling ball has a mass of 5.5 kg and a radius of 12.0 cm. It is released so that it rolls down the alley at a rate of 12 rev/s. Find the magnitude of its angular momentum.

12. What is the angular momentum of a 2
What is the angular momentum of a 2.8 kg uniform cylindrical grinding wheel of radius 18 cm when rotating at 1500 rpm? How much torque is required to stop it in 6.0 s?

13. Calculate the moment of inertia of a wheel that has a rotational kinetic energy of 24,400 J when it is rotating at 62.8 rad/s.

14. A man stands on a rotating platform that has an angular speed of 6
A man stands on a rotating platform that has an angular speed of 6.28 rad/s; his arms are outstretched and he holds a weight in each hand. With his hands in this position, the total moment of inertia of the man, the weights, and the platform is 6.00 kgm2. If by moving the weights, the man decreases the total moment of inertia to 2.00 kgm2, what is the resulting angular speed? How much did the KE increase/

15. A diving board length L = 5
A diving board length L = 5.40 m that weighs 200 N is supported by two pillars. One pillar is at the left end of the diving board, as shown below; the other is distance d = 1.70 m away .  Find the magnitude of the force exerted by the left pillar when a 80.0 kg diver stands at the far end of the board. What about right pillar? 

16. A 40 kg girl sits on the right side of a see-saw 2
A 40 kg girl sits on the right side of a see-saw 2.5 meters from the center of mass. Her partner sits 1.8 meters on the right of the center of mass. What is his mass?

17. Find the angular and linear velocities of solid cylinder that is rolling down at ramp from a height of 5.8 m. The cylinder is 1.24 m in diameter and has a mass of 15.6 kg.

18. The Good Eats company wants to hang a sign outside their café
The Good Eats company wants to hang a sign outside their café. The sign is 1.2 m in diameter and hangs from a 1.5 m beam. The beam has a force of 125 N from the center of mass. If the center of mass for the sign is at 1.1 m and the sign has a mass of 14 kg, what does the tension on the cable need to be to support the sign--25° angle? What are the normal and friction forces?

19. The beam is 25 kg and the sign is 15 kg
The beam is 25 kg and the sign is 15 kg. What is the tension on the cable? What is the horizontal support force and the frictional force? Be sure to draw the diagram for the forces and show your pivot point.

20. A 2000 kg Ferris wheel accelerates from rest to an angular speed of 2
A 2000 kg Ferris wheel accelerates from rest to an angular speed of 2.0 rad/s in 12 sec. Approximating the Ferris wheel as a circular disk with a radius of 30 m, what is the net torque on the wheel?

21. A hoop has a diameter of 0. 2 meters and it’s mass is 0. 4 kg
A hoop has a diameter of 0.2 meters and it’s mass is 0.4 kg. What is the rotational inertial for the hoop?
A 0.5 kg soccer ball has a 25 cm circumference. What is it’s rotational inertia?

22. A 17 kg sign hangs at a distance L from the hinge on a beam of 25 kg with a center of mass at L/2. The cable that supports the sign is at a 30° angle also at distance L. What is the tension in the cable and the horizontal support force?