A 4-lb sphere A is connected to a fixed point O by an inextensible cord of length 3.6 ft. The sphere is resting on a frictionless horizontal surface at a distance of 1.5 ft from O when it is given ven a velocity v0 in a direction perpendicular to line OA. It moves freely until it reaches position A??, when the cord becomes taut. Determine the maximum allowable velocity v0 if the impulse of the force exerted on the cord is not to exceed 0.8 lb ?? s.

3.6 ft 1.5A-