## Question:

The free-rolling ramp has a mass ${ M }_{ r }$ . A crate of mass ${ M }_{ c }$ is released from rest at A and slides down d to point B. If the surface of the ramp is smooth, determine the ramp’s speed when the crate reaches B. Also, what is the velocity of the crate? Given: ${ M }_{ r }$ = 40 kg , ${ M }_{ c }$ = 10 kg , d = 3.5 m , θ = 30 deg , g =${ 9.81 m/s }^{ 2 }$