An inclined plane has an inclination θ with horizontal. A body of mass m rests on it. If the coefficient of friction between the body is µ, then the minimum force that needs to be applied parallel to the inclined plane is

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mgsin⁡θ

μmgcos⁡θ

μmgcos⁡θ+mgsin⁡θ

μmgcos⁡θ−mgsin⁡θ

answer is C.

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Detailed Solution

See fig.From figure, R=mgcos⁡θNow F=μR+mgsin⁡θor F=μmgcos⁡θ+mgsin⁡θ.

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