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Question

In the arrangement shown in the figure mass of the block A and body B are 2m, 8m respectively .The surface between B and floor is smooth. The body B is connected to block C by means of pulley. If the whole system is released then the minimum value of mass of the block C so that the block A remains stationary with respect to B is (Coefficients of friction between A and B is μ)


A

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B

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C

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D

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Solution

The correct option is D


For body to be relatively at rest amin=gμ And from 2 nd law amin=(M)gM+10m
Solving the above equations M = 10mμ1


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