In the arrangement shown in the figure, mass of the block \(B\) and \(A\) is \(2 m\) and \(m\) r....

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In the arrangement shown in the figure, mass of the block \(B\) and \(A\) is \(2 m\) and \(m\) respectively. Surface between \(B\) and floor is smooth. The block \(B\) is connected to the block \(C\) by means of a string pulley system. If the whole system is released, then find the minimum value of mass of block \(C\) so that \(A\) remains stationary w.r.t. \(B\). Coefficient of friction between \(A\) and \(B\) is \(\mu\).
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