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A block of mass M is released from point P on a rough inclined plane with inclination angle $\Theta$, shown in the figure below. The coefficient of friction is $\mu$. If $\mu$< tan$\Theta$, then the time taken by the block to reach another point Q on the inclined plane, where PQ = s, is                                                                                                           

 

      (a)  $\sqrt{\frac{2s}{g \cos \Theta \left ( \tan \Theta -\mu \right )}}$ 

      (b) $\sqrt{\frac{2s}{g \cos \Theta \left ( \tan \Theta +\mu \right )}}$ 

      (c)$\sqrt{\frac{2s}{g \sin \Theta \left ( \tan \Theta -\mu \right )}}$

      (d) $\sqrt{\frac{2s}{g \sin \Theta \left ( \tan \Theta +\mu \right )}}$ 

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answered by (215k points)
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Above is derivation for time taken by the block to reach the given point

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