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 ?

Question

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 ?

Infinity Learn · Accepted Answer

The motion will stop when the force of friction is equal to the weight of $$M2$$. Thus  $$M2g=$$μ(M1+m)gorM2g=$$μ$$m1g+$$μmgor $$M2$$−μ$$M1=$$μm∴$$m=(M2$$μ−$$M1)

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