Question
there is 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 sysytem is started towards right with an initial velocity v. The friction coefficeient between the road and the bigger block is μ and that between the block is μ/2. Find the time elapsed before the smaller block separates from the bigger block?
Joshi sir comment
Since there is no force for accelerating the larger block so larger block will be retarded due to this smaller block will move in forward direction
for the process equations are
0 + (µ/2)mg - µ(M+m)g = Ma (1)
(µ/2)mg - ma = ma1 (2)
take the value of a from eq (1) to eq (2) and get a1
then l = 0t + (1/2)a1 t2