The pavement compactor is traveling down the incline at v_G = 5 ft/s when the motor is disengaged. Determine the angular velocity of the roller B when the compactor has traveled 20 ft down the plane. The body of the compactor, excluding the rollers, has a weight of 8000 lb and a center of gravity at G. Each of the two rear rollers weighs 400 lb and has a radius of gyration of k_A = 3.3 ft. The front roller has a weight of 800 lb and a radius of gyration of k_B = 1.8 ft. The rollers do not slip as they rotate.

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3.8 ft QA 5 ft. 4.5 ft 2.2 ft 10 ft 30 B