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Question: The upper half of an inclined plane with inclination φ is perfectly smooth. While the lower half is ...

The upper half of an inclined plane with inclination φ is perfectly smooth. While the lower half is rough. A body starting from rest at the top will again come to rest at the bottom if the coefficient of friction for the lower half is given by

A

2 sin φ

B

2 cosφ

C

2 tan φ

D

tan φ

Answer

2 tan φ

Explanation

Solution

mgs sin φ = μmg cos φ s/2 or μ = 2 tna φ.