Chapter 5 Test Problems

1. A solid cylinder of mass 5 kg and radius 0.2 m rolls down an incline of height 2 m without slipping. Determine its speed at the bottom.
2. A uniform rod 2 m long and mass 6 kg is pivoted at one end. A horizontal force of 30 N is applied at the free end. Find the torque about the pivot.
3. A disc of moment of inertia 3 kg·m² rotates at 12 rad/s. Find its angular momentum and rotational kinetic energy.
4. A solid sphere of mass 4 kg and radius 0.3 m rotates at 10 rad/s. Calculate its rotational kinetic energy.
5. A beam 3 m long and 8 kg is supported at its center. A 60 N weight is hung 1.2 m from the center. Compute the net torque about the midpoint.
6. A cylinder of radius 0.25 m and mass 3 kg rolls without slipping at 4 m/s. Determine its translational and rotational kinetic energy.
7. A uniform rod 1.8 m long and mass 5 kg is pivoted at one end. A perpendicular force of 25 N is applied at the free end. Calculate the angular acceleration.
8. A wheel has an angular momentum of 24 kg·m²/s and a moment of inertia of 4 kg·m². Find its angular velocity.
9. A solid cylinder rolls down a 3 m high incline. Calculate its speed at the bottom.
10. A rod of length 2 m and mass 4 kg rotates about one end. Determine its moment of inertia and rotational kinetic energy if angular velocity is 6 rad/s.