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 1√3FBD 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∘=5√3 For limiting case f=fL=μN=μ×15 ⇒μ×15=5√3, ⇒μ=1√3

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