A system consists of three masses m1 ,m2 and m3 connected by a string passing over a pulley P. The mass ml hangs freely and m2 and m3 are on a rough horizontal table (the coefficient of fiction = μ ). The pulley is frictionless and of negligible mass. The downward acceleration of mass m1 is : (Assume m1 = m2 = m)
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a
g(1−2μ)9
b
2gμ3
c
g(1−2μ)3
d
g(1−2μ)2
answer is C.
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Detailed Solution
Acceleration = Net force in the direction of motion Total mass of system =m1g−μm2+m3gm1+m2+m3=g3(1−2μ)