First slide

Static friction

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

2.0
B

4.0
C

1.6
D

2.5

Solution

For limiting friction
$8 = mgsin θ = mgsin 30^{\circ}$
$or 10 = m \times 10 \times (\frac{1}{2}) = 5 m or m = 10 / 5 = 2 kg .$

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