The force required to just move a body up an inclined plane is double the force required to just prevent it from sliding down. If φ is angle of friction and θ is the angle which incline makes with the horizontal then,

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tan θ = tan φ

tan θ = 2 tan φ

tan θ = 3 tan φ

tan ϕ = 3 tan θ

answer is C.

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Detailed Solution

mg(sin θ + μ cos θ) = 2 mg(sin θ - μ cosθ)tan θ = 3 μtan θ = 3 tan φ [μ = tan φ]

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