Question : A box having a weight W is moving around in a circle of radi...

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. Given: W = 8 lb , { r }_{ A } = 2 ft , { v }_{ A1 } = 5 ft/s , { v }_{ r } = 4 ft/s , { r }_{ B } = 1 ft , g = { 32.21ft/s }^{ 2 }