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Questions  

The upper half of an inclined plane of inclination 'θ' is perfectly smooth while the lower half is rough. A block starting from rest at the top of the plane will again come to rest at the bottom. The coefficient of friction between the block and the lower half of the plane is given by

a
μ=2tan⁡θ
b
μ=2tan⁡θ
c
μ=tan⁡θ
d
μ=1tan⁡θ

detailed solution

Correct option is A

Vrough =2glsin⁡θ−μkcos⁡θVsmooth =2glsin⁡θ

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A skier starts from rest at point A and slides down the hill without turning or breaking. The friction coefficient is μ. When he stops at point B, his horizontal displacement is s. What is the height difference between points A and B

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