Q.

A block is at rest on an inclined plane making an angle α  with the horizontal. As the angle α  of the inclination is increased, the block just starts slipping when the angle of inclination becomesθ . Then the coefficient of static friction between the block and the surface of the inclined plane is

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a

sinθ

b

cosθ

c

tanθ

d

Independent of θ

answer is C.

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Detailed Solution

θ  =  Angle of repose ∴μ=tanθ   angle  of repose is  the angle of inclination at which a body placed on it is ready to slide  and the component of weight along the inclined plane is equal to limiting friction.mg sin α =μs mg cos α
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A block is at rest on an inclined plane making an angle α  with the horizontal. As the angle α  of the inclination is increased, the block just starts slipping when the angle of inclination becomesθ . Then the coefficient of static friction between the block and the surface of the inclined plane is