The cable drum has a mass of 800 kg with radius of gyration of 480 mm about its center O...

The cable drum has a mass of 800 kg with radius of gyration of 480 mm about its center O and is mounted in bearings on the 1200-kg carriage. The carriage is initially moving to the left with a speed of 1.5 m /s, and the drum is rotating counterclockwise with an angular velocity of 3 rad /s when a constant horizontal tension T = 400 N is applied to the cable at time t = 0. Determine the velocity v of the carriage and the angular velocity ω of the drum when t = 10 s. Neglect the mass of the carriage wheels.