A system consists of three masses `m_(1)` , `m_(1)` , `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 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)`

Answer

C