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Questions  

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 ?

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)

detailed solution

Correct option is A

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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Similar Questions

The upper half of an inclined plane of inclination θ is perfectly smooth while the lower half rough. A block starting from rest at the top of the plane will again come to rest at the bottom, if the coefficient of friction between the block and the lower half of the plane is given by                        


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