A box having a weight W is moving around in a circle of radius r_A with a speed v_A1 while connected to the end of a rope. If the rope is pulled inward with a constant speed v_r, determine the speed of the box at the instant r = r_B. How much work is done after pulling in the rope from A to B? Neglect friction and the size of the box.

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Given: W = 8 lb TA = 2 ft ΤΑ