A motor delivers 50 lb · ft of torque to the pinion gear D, which is in mesh with the larger gear A and the attached drum over which the cable winds. If A has a weight of 120 lb and a radius of gyration k_A = 0.6 ft, determine the velocity of the 50-lb crate C when it has risen 5 ft starting from rest. Neglect the mass of the pinion gear and the cable and pulley at B.

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M = 50 lb ft. 1 ft A 1 ft 0.25 ft- -1.25 ft B C