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 $m_1=m_2=m_3=m$)

1. A
   $\frac{g(1-\mu )}{9}$
2. B
   $\frac{2\mu g}{3}$
3. C
   $\frac{g(1-2\mu )}{3}$
4. D
   $\frac{g(1-2\mu )}{2}$