1. The double pulley consists of two parts that are attached to one another. It has a weight of 50 lb and a centroidal radius of gyration of kO = 0.6 ft and is turning with an angular velocity of 20 rad> s clockwise. Determine the kinetic energy of the system. Assume that neither cable slips on the pulley.
2. The double pulley consists of two parts that are attached to one another. It has a weight of 50 lb and a centroidal radius of gyration of kO = 0.6 ft and is turning with an angular velocity of 20 rad> s clockwise. Determine the angular velocity of the pulley at the instant the 20-lb weight moves 2 ft downward.