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Question

An object of mass m rests on a plane inclined at an angle of θ. What is the maximum value for the coefficient of static friction at which the object will slide down the incline?

A
sinθcosθ
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B
cosθsinθ
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C
mgsinθ
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D
sinθ/cosθ
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E
sinθ+cosθ
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Solution

The correct option is C sinθ/cosθ
The block would continue to slide down unless the force of sliding friction is less than the downward force.
mgsinθ>μsN
mgsinθ>μsmgcosθ
μs<sinθcosθ

531790_491164_ans_81839126de354b33a43e784d7bf83c46.PNG

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