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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a
tan θ = tan φ
b
tan θ = 2 tan φ
c
tan θ = 3 tan φ
d
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]