Two blocks of mass $$M1$$ and $$M2$$ are connected with a string which passes over a smooth pulley. The mass $$M1$$ is placed on a rough inclined plane as shown in fig. The coefficient of friction between theblock and the inclined plane is µ. What should be the maximum mass $$M2$$ so that block $$M1$$ slides downwards ?

Question

Two blocks of mass $$M1$$ and $$M2$$ are connected with a string which passes over a smooth pulley. The mass $$M1$$ is placed on a rough inclined plane as shown in fig. The coefficient of friction between theblock and the inclined plane is µ. What should be the maximum mass $$M2$$ so that block $$M1$$ slides downwards ?

Infinity Learn · Accepted Answer

For downward acceleration,$$M1gsin$$⁡θ−μ$$M1gcos$$⁡θ≥$$M2gM1($$$$sin$$⁡θ−μ$$cos$$⁡θ$$)$$≥$$M2$$∴$$M2max=M1($$$$sin$$⁡θ−μ$$cos$$⁡θ$$)$$.

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