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  1. 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)

    1. g(1 - gμ)
      g
    2. 2gμ
      3
    3. g(1 - 2μ)
      3
    4. g(1 - 2μ)
      2
Correct Option: C

Acceleration =
Net force in the direction of motion
Totla mass of system

=
m1g - μ(m2 + m3)g
=
g
(1 - 2μ)
m1 + m2 + m33

(∵ m1 = m2 = m3 = m given)



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