Consider the situation as shown in the figure. The system is released from rest. Find the speed of `m` when it has traveled a distance `d` on a rough surface.

Explanation

The string is un extensible, the blocks will move with same speed
`K_1+U_1=K_2+U_2+W_f`
`0-2mg(y)=(1)/(2)mv^2+(1)/(2)xx2mv^2-2mg(y+d)+mumgd`
`2mgd-(1)/(2)mgd=(3)/(2)mv^2`
`v=sqrt(gd)`