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Question

A block rests on a rough inclined plane making an angle of 30 with the horizontal. The coefficient of static friction between the block and the plane is 0.8. If the frictional force on the block is 10 N, the mass of the block (in kg) is (take g=10 m/s2)

A
2.5 kg
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B
4 kg
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C
1.5 kg
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D
2 kg
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Solution

The correct option is D 2 kg
By the FBD, It is given that the body is in rest and so the frictional force 10 N will be acting on the block opposite to the direction of component of mg along the incline plane.
f=mgsin30=10 N
m×102=10
m=2 kg

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