First slide
Friction on inclined plane of angle more than angle of repose
Question

Two blocks of mass M and m are connected with a string which passes over a smooth pulley as shown in fig. The mass M is placed on a rough 

inclined plane. The coefficient of friction between the block and the inclined plane is µ. What should be the minimum mass m so that the block M slides upward ?

Moderate
Solution

For upward motion, both frictional force and the gravitational force acts down the plane.

 mgMgsinθ+μMgcosθor mM(sinθ+μcosθ) (m)min=M(sinθ+μcosθ)

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