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 ?
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a
m=M(sinθ+μcosθ)
b
m=M(sinθ−μcosθ)
c
m=M(sinθ+μcosθ)
d
m=M(sinθ−μcosθ)
answer is A.
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Detailed Solution
For upward motion, both frictional force and the gravitational force acts down the plane. mg≥Mgsinθ+μMgcosθor m≥M(sinθ+μcosθ)∴ (m)min=M(sinθ+μcosθ)