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Question

The coefficient of static friction between a block of mass m and an incline is μs=0.3.
(a) What can be the maximum angle θ of the incline with the horizontal so that the block does not slip on the plane?
(b) if the inclined makes an angle θ/2 with the horizontal, find the frictional force on the block.

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Solution

(a) For no slip condition

Gravitation force component must be less than maximum Friction force

mgsinθμmgcosθ

tanθμ=0.3

θtan10.3

(b) When angle is less than slipping angle than. Friction force equal to the gravitation force component.

Friction force =mgsin(θ/2)


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