The upper half of an inclined plane with inclination $\phi$ is perfectly smooth while the lower half is…

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. $\tan \phi$

Solution


$m g s \sin \phi=\mu m g \cos \phi \cdot \frac{s}{2}$

Asked in: JEE Main 2005

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