## Question:

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 = ${ 32.21ft/s }^{ 2 }$