Laws of MotionHard

Question

A body is plane on an inclined plane. The coefficient of friction between the body and the plane is μ.
The plane is gradually tilted up. If  θ is the inclination of the plane frictional force on the body is

Options

A.Constant up to = tan1(μ) and decreases after the
B.Increases up to = tan1(μ) and decreases after the
C.decreases up to = tan1(μ) and constant after the
D.Constant throughout

Solution

friction force F = mg sin θ if ≤ tan (μ) and F = μmg cos θ if θ ≥ tan-1(μ)
Which increases upto θ = tan-1(μ) and then decreases.

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