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Q.

A system consists of three masses  m1and  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)

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a

23

b

g12μ2

c

g12μ3

d

g1g

answer is C.

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Detailed Solution

a=m1gμm2+m3gm1+m2+m3=mg2μmg3m

=g12μ3

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