In the given figure, find mass of the block A, if it remains at rest, when the system is released from rest. Pulleys and strings are massless. $[{g = 10 m / s}^{2}]$

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2.5m

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Solution

The correct option is D 3m
$\begin{matrix} T = \frac{2 m_{B} \cdot m_{C} g}{(m_{B} + m_{C})} = \frac{2 \cdot m \cdot 3 m \cdot g}{4 m} T = \frac{3 m g}{2} - - - - - - (1) F o r m a s s A 2 T = m_{A} g (R e s t) - - - - - - (2) f r o m (1) a n d (2) 3 m g = m_{A} g m_{A} = 3 m \end{matrix}$
Hence,
option $(D)$ is correct answer.

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