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

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In the arrangement shown in the figure, mass of the block \( B \) and \( A \) is \( 2 \mathrm{~m} \) 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 \( \mu \).
(a) \( \frac{m}{\mu} \)
(b) \( \frac{2 m+1}{\mu+1} \)
(c) \( \frac{3 m}{\mu-1} \)
(d) \( \frac{6 m}{\mu+1} \)
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