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Q.

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(sin⁡θ+μcos⁡θ)

b

m=M(sin⁡θ−μcos⁡θ)

c

m=M(sin⁡θ+μcos⁡θ)

d

m=M(sin⁡θ−μcos⁡θ)

answer is A.

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Detailed Solution

For upward motion, both frictional force and the gravitational force acts down the plane. mg≥Mgsin⁡θ+μMgcos⁡θor m≥M(sin⁡θ+μcos⁡θ)∴ (m)min=M(sin⁡θ+μcos⁡θ)
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