13-103. A ride in an amusement park consists of a cart
Chapter 13, Problem 13-103(choose chapter or problem)
13-103. 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 rQ = 16 ft such that the angular rate of rotation is 0O = 0.2 rad/s. If the attached cable OC is drawn inward at a constant speed of r = -0.5 ft/s, 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. Hint: First show that the equation of motion in the 0 direction yields a6 = r0 + 2/0 = (\/r)d(r 0 )/dt = 0. When integrated, r 0 = c, where the constant c is determined from the problem data.
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