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Physics Question on Acceleration

A system consists of three masses m1, m2 and m3 connected by a string passing over a pulley P. The mass m1 hangs freely and m2 and m3 are on a rough horizontal table (the coefficient of friction = μ).
The pulley is frictionless and of negligible mass. The downward acceleration of mass m1 is:
(Assume m1=m2=m3=m)
A system consists of three masses m1, m2 and m3

A

2gμ3\frac{2g\mu}{3}

B

g(1−2μ)3\frac{g(1-2\mu)}{3}

C

g(1−2μ)2\frac{g(1-2\mu)}{2}

D

g(1−gμ)9\frac{g(1-g\mu)}{9}

Answer

g(1−2μ)3\frac{g(1-2\mu)}{3}

Explanation

Solution

The correct option (B): g(1−2μ)3\frac{g(1-2\mu)}{3}