The spool has a weight of 500 lb and a radius of gyration of kG = 1.75 ft. A horizontal...

The spool has a weight of 500 lb and a radius of gyration of k_G = 1.75 ft. A horizontal force of P = 15 lb is applied to the cable wrapped around its inner core. If the spool is originally at rest, determine its angular velocity after the mass center G has moved 6 ft to the left. The spool rolls without slipping. Neglect the mass of the cable.