13-95. The ball has a mass of 2 kg and a negligible size.

Chapter 13, Problem 13-95

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13-95. The ball has a mass of 2 kg and a negligible size. It is originally traveling around the horizontal circular path of radius r0 = 0.5 m such that the angular rate of rotation is tf0 = I rad/s. If the attached cord ABC is drawn down through the hole at a constant speed of 0.2 m/s, determine the tension the cord exerts on the ball at the instant r = 0.25 m. Also, compute the angular velocity of the ball at this instant. Neglect the effects of friction between the ball and horizontal plane. Hint: First show that the equation of motion in the 0 direction yields aft = rO 4- 2'rd = (1/r) (d(rf)/dt) = 0. When integrated. rd = Cs where the constant c is determined from the problem data.