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 w of the drum when t = 10 s. Neglect the mass of the carriage wheels.

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T= 400 N 800 kg 500 mm OT 1200 kg