Solved: A 1.5-lb ball that can slide on a horizontal

Chapter 13, Problem 13.97

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A 1.5-lb ball that can slide on a horizontal frictionless surface is attached to a fixed point O by means of an elastic cord of constant k = 1 lb/in. and undeformed length 2 ft. The ball is placed at point A, 3 ft from O, and given an initial velocity \(v_{0}\) perpendicular to OA, allowing the ball to come within a distance d = 9 in. of point O after the cord has become slack. Determine (a) the initial speed \(v_{0}\) of the ball, (b) its maximum speed.

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