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Q.

A system consists of three masses m1, m2 and m3 connected by a string passing over a pulley P. The mass m, hangs freely and m2 and m3are 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)

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a

g(1-gμ)9

b

2gμ3

c

g(1-2μ)3

d

g(1-2μ)2

answer is C.

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Detailed Solution

a = m1g-μ(m2+m3g)m1+m2+m3 = m[g-2μg]3m    = g3[1-2μ]
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