1. Calculate the moment of inertia of a rod spun about its center (I=1/12 MR^2) if the mass is 10.0 kg and the length is 22.0 cm.

a. 0.183 kg m²

b. 0.0403 kg m²

c. 403 kg m²

d. 0.00183 kg m²

2. A skater has a mass of 50 kg, and a moment of inertia of 43 kg m^2, and is rotating at 30 rpm. If the skater reduces her moment of inertia by retracting her arms to 32 kg m^2, what is her angular speed, now?

a. 41.3

b. 39.4

c. 36

d. 40.3

3. Calculate the moment of inertia of an 15 kg solid sphere (I=2/5 MR^2) with a 12 cm radius if spun around its symmetry axis.

a. 860

b. 0.72

c. 0.086

d. 72

4. What is the kinetic energy of a solid ball rolling on the level floor, with a 5 cm radius, if its mass is 1.3 kg, and its linear speed on the ground is 3.0 m/s? (I = 2/5 mr^2)

a. 5.85 mJ

b. 35.1 J

c. 8.19 J

d. 11.7 J

5. What is the angular momentum of a solid ball spinning about its 5 cm radius at 20 rpm, if its mass is 1.3 kg? (I = 2/5 mr^2)

a. 52 g m/s

b. 0.173 g m/s

c. 0.136 g m/s

d. 2.72 g m/s

6. A disk is rotating at 2 rev/sec. The disk has a moment of inertia of 25 kg m². If an identical, non-rotating disk, which has a moment of inertia exactly as large, is dropped onto the rotating disk, what will be the new rotational speed of the combined rotating object?

a. 1.66 rev/sec

b. 3.0 rev/sec

c. 2.66 rev/sec

d. 1.33 rev/sec 7. A rope is wrapped around a sphere (I=2/5 MR^2) so that a force F can be applied perpendicular to the radius of the sphere. If the sphere has a mass of 5.5 kg and a radius of 12 cm, what force will produce an angular acceleration of 2.5 rad/sec²? a. 0.333 N

b. 0.667 N

c. 3.33 N

d. 6.67 N

8. A solid ball (I=2/5 MR^2) of mass 0.5 kg is rolling down a ramp from a height 20 cm, how fast will it be rolling at the bottom of the ramp?

a. 1.19 m/s

b.39.2 m/s c. 1.67 m/s

d. 2.34 m/s