The upper half of an inclined plane with inclination

Question:

The upper half of an inclined plane with inclination $\phi$ 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-

 

  1. $2 \sin \phi$

  2. $2 \cos \phi$

  3. $2 \tan \phi$

  4. $\tan \phi$

Correct Option: , 3

Solution:

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