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 un-deformed length 2 ft. The ball is placed at Point A, 3 ft from O, and given an initial velocity v0 perpendicular to OA.
Determine
(a) The smallest allowable value of the initial speed v0 if the cord is not to become slack,
(b) The closest distance d that the ball will come to Point O if it is given half the initial speed found in part a. |

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