The pulley in the figure (Figure 1) has radius R and a moment of inertia I. The rope does not slip over the pulley, and the pulley spins on a frictionless axle. The coefficient of kinetic friction between block A and the tabletop is µk. The system is released from rest, and block B descends. Block A has mass mA and block B has mass mB.
Part A:
Use energy methods to calculate the speed of block B as a function of the distance d that it has descended.
Express your answer in terms of the variables mA, mB, R, I, µk, d and appropriate constants.