A baseball attachment that helps people with mobility impairments play T-ball and baseball is powered by a spring that is unstretched at position 2. The spring is attached to a cord that is fastened to point B on the 75-mm-radius pulley. The pulley is fixed at point O, rotates backward to the cocked position at θ =120°, and the rope wraps around the pulley and stretches the spring with a stiffness of k = 2000 N/m. The combined mass moment of inertia of all the rotating components about point O is 0.40 kg·m2. The swing is timed perfectly to strike a 145-gram baseball traveling with a speed of v0 = 10 m/s at a distance of h = 0.7 m away from point O. Knowing that the coefficient of restitution between the bat and ball is 0.59, determine the velocity of the baseball immediately after the impact. Assume that the ball is traveling primarily in the horizontal plane and that its spin is negligible.
Fig. P17.141
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