A ride in an amusement park consists of a cart which is supported by small wheels. Initial...

A ride in an amusement park consists of a cart which is supported by small wheels. Initially the cart is traveling in a circular path of radius ro = 16 ft such that the angular rate of rotation is . If the attached cable OC is drawn inward at a constant speed of , determine the tension it exerts on the cart at the instant r = 4 ft. The cart and its passengers have a total weight of 400 lb. Neglect the effects of friction.