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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 \( m_{2} \) and \( m_{3} \) 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 \( m_{1}=m_{2}=m_{3}=m \) )
[CBSE PMT 2014]
(a) \( g(1-2 \mu) / 3 \)
(b) \( g(1-2 \mu) / 2 \)
(c) \( g(1-g \mu) / 9 \)
(d) \( 2 g \mu / 3 \)
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