Question : The free-rolling ramp has a mass Mr . A crate of mass Mc is ...

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 }