## Question:

The free-rolling ramp has a weight ${ W }_{ r }$ . If the crate, whose weight is ${ W }_{ c }$ , is released from rest at A, determine the distance the ramp moves when the crate slides a distance d down the ramp and reaches the bottom B. Given: ${ W }_{ r }$ = 120 lb , a = 3 , b = 4 , ${ W }_{ c }$ = 80 lb , d = 15 ft , g = ${ 32.2ft/s }^{ 2 }$