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Question

In the figure shown, if the block does not slide down the plane when a force of 10 N is applied perpendicular to the plane, find the coefficient of static friction between the plane and the block.(Consider limiting case of friction) Take g=10 m/s2.

A
12
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B
12
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C
13
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D
13
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Solution

The correct option is D 13
FBD of the block


10 N force is perpendicular to the plane and its own weight also has a component of mgcosθ in the same direction
Net normal force perpendicular to the plane:
N=10+5=15 N
Block is in equilbrium. So, along the plane,
f=10sin60=53
For limiting case
f=fL=μN=μ×15
μ×15=53, μ=13

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