Figure( 6-E12) shows a small block of mass m kept at the left end of a larger block of mass M and length l. The system can slide on a horizontal road. The system is started towards right with an initial velocity v. The friction coefficientbetween the road and the bigger block is μ and that between the block is μ2. Find the time elapsed before the smaller blocks separates from the bigger block.
Let a1 and a2 be the accelerations of m and M respectively.
Here,a1>a2, so taht m moves on M Suppose, after time 't' m is separated from M.
In this time, m covers vt+12a1t2 and
For m to separate from M,
Again from free body diagram,
Putting values of a1 and a2 wwe get,