Chapter 5 Test Questions

1. A solid cylinder and a hollow cylinder roll down an incline. Which reaches the bottom first and why?
2. A torque of 10 N·m is applied to a wheel of radius 0.5 m. Find the angular acceleration if the moment of inertia is 2 kg·m².
3. Calculate the angular momentum of a disc of mass 3 kg and radius 0.4 m rotating at 10 rad/s.
4. A figure skater spins at 2 rad/s with arms extended. When pulling in her arms, her moment of inertia decreases to half. Find her new angular velocity.
5. A uniform rod of length 2 m and mass 5 kg rotates about one end. Calculate its rotational kinetic energy if it rotates at 4 rad/s.
6. Explain why angular momentum is conserved when no external torque acts on a system.
7. A wheel with moment of inertia 1.5 kg·m² rotates under a net torque of 6 N·m for 3 s. Determine its final angular velocity.
8. A torque acts perpendicular to the axis of rotation. Explain the effect on angular acceleration.
9. Compute the rotational kinetic energy of a hollow sphere (mass 2 kg, radius 0.3 m) spinning at 5 rad/s.
10. Discuss the difference between rolling without slipping and pure rotation in terms of energy distribution.