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