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Q.

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

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a

M2−M1μ

b

M2μ−M1

c

M2−M1μ

d

M2−M1μ

answer is B.

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Detailed Solution

The motion will stop when the force of friction is equal to the weight of M2. Thus  M2g=μ(M1+m)gorM2g=μm1g+μmgor M2−μM1=μm∴m=(M2μ−M1)
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