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`)
Options:
(a) `(g(1-gmu))/9`
(b) `(2gmu)/3`
(c) `(g(1-2mu))/3`
(d) `(g(1-2mu))/2`