A 2-kg sphere A is connected to a fixed point O by an

Chapter 13, Problem 13.152

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A 2-kg sphere A is connected to a fixed point O by an inextensible cord of length 1.2 m. The sphere is resting on a frictionless horizontal surface at a distance of 0.5 m from O when it is given a velocity \(v_{0}\) in a direction perpendicular to line OA. It moves freely until it reaches position \(A^{\prime}\), when the cord becomes taut. Determine the maximum allowable velocity \(v_{0}\) if the impulse of the force exerted on the cord is not to exceed \(3 \ N \cdot s\).

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