First slide

Friction on inclined plane of angle more than angle of repose

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)

Moderate

A

2.5
B

4.0
C

1.6
D

2.0

Solution

As tan^-1(0.8) > 30°,so block remains at rest so ,f = mgsin30°
= m = 2kg

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