A body is sliding down an inclined plane μ=12. If the normal reaction is twice that of the resultant downward force along the incline, the inclination of plane is

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15°

30°

45°

60°

answer is C.

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Detailed Solution

mgcos⁡θ=2mgsin⁡θ−μk×cos⁡θcos⁡θ2=sin⁡θ−cos⁡θ2⇒cos⁡θ=sin⁡θ⇒θ=45∘

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