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## Homework Statement

Figure shows a small block of mass m kept on the left end of a larger block of mass M and length l. The system can slide on horizontal road. The system is started towards right with an initial velocity v. The friction coefficient between the road and the bigger block is μ and that between blocks is μ/2. Find the time elapsed before the smaller block separates from the bigger block.

## The Attempt at a Solution

For the block M,

Ma2 = μ(M+m)g - μmg/2

a2 = Acceleration of M w.r.t. ground is μg(1+m/2M) towards right.

For the block m,

ma1 = μmg/2

a1 = acceleration of m w.r.t M is μg/2 towards right.

l = ut + 0.5a1 t

^{2}

u=0 so l = 0.5 μg/2 t

^{2}

t = (4l/μg)

^{1/2}

The answer is different.

Please help.