Block 
of mass 
rests on the plank 
of mass 
which is free to slide on a frictionless horizontal surface. The coefficient of friction between the block and plank is 0.2. If a horizontal force of magnitude 2 mg is applied to the plank 
, the acceleration of 
relative to the plank and relative to the ground respectively, are
Text Solution
Verified by ExpertsD
Block A moves due to friction. Maximum value of friction can be 
. Therefore,
maximum acceleration of 
can be 
or 
. When force 2 mg is applied on lower block, common acceleration (if both move together) will be
Since, 
is greater than maximum acceleration of 
which can be given to it by friction. Therefore, slipping will take place.
(in backward direction)
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