An axle passes through a pulley. Each end of the axle has a string that is tied to a support. A third string is looped many times around the edge of the pulley and the free end attached to a block of mass mbmb , which is held at rest. When the block is released, the block falls downward. Consider clockwise to be the positive direction of rotation, frictional effects from the axle are negligible, and the string wrapped around the disk never fully unwinds. The rotational inertia of the pulley is 1/2MR^2 about its center of mass. The block falls for a time to, but the string does not completely unwind. Required:
What is the change in angular momentum of the pulley-block system from the instant that the block is released from rest until time to.