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Question

The coefficient of static friction between the two blocks shown in the figure is ‘μ’ and the table is smooth. The maximum value of ‘F’ so that both blocks moves together, is

A
μ(M+m)g
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B
μ mg
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C
μ Mg
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D
μm(M+m)gM
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Solution

The correct option is D μm(M+m)gM

Let both the blocks are moving together with same acceleration a, then
a=FM+m,f=Ma=MFM+m
For no relative motion to be there between the blocks, ffL
i.e., MFM+mμmgFμm(M+m)gM

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