The drum has a weight of 80 lb and a radius of gyration ko = 0.4 ft. If the cable, which i...

The drum has a weight of 80 lb and a radius of gyration ko = 0.4 ft. If the cable, which is wrapped around the drum, is subjected to a vertical force P = 15 lb, determine the time needed to increase the drum’s angular velocity from ω1 = 5 rad/s to ω2 = 25 rad/s. Neglect the mass of the cable.