The two gears A and B have weights and radii of gyration of W_A = 15 lb, k_A = 0.5 ft and W_B = 10 lb, k_B = 0.35 ft, respectively. If a motor transmits a couple moment to gear B of M = 2(1 - e ^-0.5t) lb · ft, where t is in seconds, determine the angular velocity of gear A in t = 5 s, starting from rest.

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0.8 ft M 0.5 ft B