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Question

# In the arrangement shown θ is varied between 0 to π2. ( If fc: contact force, N : normal Reaction, f : friction), then which of the following variations are correctly shown

A
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B
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C
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D
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Solution

## The correct option is D Till θ reaches the angle of repose, friction force is equal to applied external forece. f=mgsinθ,N=mgcosθ fc=√f2+N2 fc=mg For θ exceeding angle of repose, kinetic friction starts acting on the block, which is given by fk=μkN f=μmgcosθ, N=mgcosθ fc=(√1+μ2)mg cosθ Hence, option (A) and (D) are the correct choices.

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