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L L 8. A dIS(? with moment of inertia 1 kg-m? spins about an axle through its center of mass with angular velocity 10 rad/s. An identical disc which is not rotating is slid along the axle until it makes contact with the first disc. If the two discs stick together, what is their combined angular velocity? 9. A uniform sphere of mass M =5 kg and radius r = 0.2 m spins about an axis passing through its center with period of rotation of 0.7 s. What is the angular momentum of the sphere? 10. What is the moment of inertia of a wheel shaped like a ring, which has a radius of 34 cm and a mass of 4.5 kg.? 11. What is the moment of inertia of a 2.5 kg sphere which has a radius of 6.0 cm.? 12. What is the moment of inertia of a disc which has a mass of 4.4 kg and a radius of 45 cm? 13. A carousela horizontal rotating platformof radius r is initially at rest, and then begins to accelerate constantly until it has reached an angular velocity w after 2 complete revolutions. What is the angular acceleration of the carousel during this time? 14. A horizontally-mounted disk with moment of inertia | spins about a frictionless axle. At time t=0, the initial angular speed of the disk is w. A constant torque 7 is applied to the disk, causing it to come to a halt in time t. How much Power is required to dissipate the wheel's energy during this time? 15. Gina rolls a bowling ball of mass 7 kg and radius 10.9 cm down a lane with a velocity of 6 m/s. a. Find the rotational kinetic energy of the bowling ball, assuming it does not slip. b. Find the total kinetic energy of the bowling ball. 16. Angelina spins on a rotating pedestal with an angular velocity of 8 radians per second. ng throns h,er an exercise ball, which increases her moment of inertia from 2 kg:m? to 2.5 kg:m? What is Angelina's angular velocity after catching the exercise ball? (Neglect any external torque from the ball.)