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Q.

A body is sliding down an inclined plane having coefficient of friction 0.5. If the normal reaction is twice that of the resultant downward force along the incline, the angle between the inclined plane and the horizontal is

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a

15°

b

30°

c

45°

d

60°

answer is C.

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Detailed Solution

Normal reaction on the inclined plane is μmgcos⁡θ and resultant downward force mg(sin⁡θ−μcos⁡θ)Given, mgcos⁡θ=2[mg(sin⁡θ−μcos⁡θ)]Solving by putting μ=0.5,θ=45∘

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