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A system consists of three masses \( m_{1}, m_{2} \) and \( m_{3} \) connected by a string passing over a pulley \( P \). The mass \( m_{1} \) hangs freely and \( m_{2} \& m_{3} \) are on a rough horizontal table (the coefficient of friction \( =\mu \) ).
The pulley is frictionless and of negligible mass. The downward acceleration of mass \( m_{1} \) is (assume, \( m_{1}=m_{2}=m_{3}=m \) )
(a) \( \frac{g(1-g \mu)}{9} \)
(b) \( \frac{2 g \mu}{3} \)
(c) \( \frac{g(1-2 \mu)}{3} \)
(d) \( \frac{g(1-2 \mu)}{2} \)
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