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 $m_1 = m_2 = m_3 = m$) <br>

Question

( A ) $\frac{g(1-2 \mu)}{2}$
( B ) $\frac{g(1-2 \mu)}{3}$
( C ) $\frac{2g \mu}{3}$
( D ) $\frac{g(1-g \mu)}{g}$