Question

A Bicycle wheel is mounted on a fixed, frictionless axle. A light string is wound around the wheel's rim, and a weight is attached to the strings at its free end. the diagrams below depict the situation at three different instances:

At
t=t0, the weight is released from rest.

At t=t1, the weight is falling and the string is still partially wound around the wheel.

At t=t2, the weight and string have both reached the ground.

1. What is the direction of the angular velocity of the wheel at each time shown? If angular velocity is zero at any time, state that explicitly. Explain.
2. What is the direction of the wheel's angular acceleration at each time shown? If the angular acceleration is zero at any time, stat that explicitly. Explain.