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Q.

Two blocks of masses M1 and M2, are connected with a string passing over a pulley as shown in figure. The block M1 lies on a horizontal surface. The coefficient of friction between the block M1 and the horizontal surface is μ. The system accelerates. What additional mass m should be placed on the block M1 so that the system does not accelerate?

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a

M2-M1μ

b

M2μ- M1

c

M2 - M1μ

d

(M2-M1)μ

answer is B.

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Detailed Solution

For the equilibrium of block of mass M1:Friction force, f = tension in the string Twhere T = f = μ(m+M1)gt----------(i)For the equilibrium of block of mass M2:T = M2g------------(ii)From (i) and (ii) μ(m+M1)g = M3gm = M2μ-M1

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Two blocks of masses M1 and M2, are connected with a string passing over a pulley as shown in figure. The block M1 lies on a horizontal surface. The coefficient of friction between the block M1 and the horizontal surface is μ. The system accelerates. What additional mass m should be placed on the block M1 so that the system does not accelerate?