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Question

A block of mass m is placed on the top of another block of mass M as shown in the figure. The coefficient of friction between them is μ. Maximum acceleration of M such that M and m move together is (there is no friction between ground and M)


A
μg
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B
gμ
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C
μ2g
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D
gμ2
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Solution

The correct option is A μg
By the free body diagram of the upper block,

as the upper block will have only frictional force and that causes the blocks to move together.

Maximum available friction to move m
=μN=μmg
Hence by the force equation on this block
f=ma
μmg=mamax
amax=μg

Option A is the correct answer

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