The cable is subjected to a force of P = 20 lb, and the spool rolls up the rail without sl...

The cable is subjected to a force of P = 20 lb, and the spool rolls up the rail without slipping. Determine the angular velocity of the spool in 5 s, starting from rest. The spool has a weight of 100 lb and a radius of gyration about its center of gravity O of kO = 0.75 ft.