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CMC Medical CMC-Medical VELLORE Solved Paper-2011

  • question_answer
    A mass m is placed on an inclined plane. If the mass is in equilibrium, the maximum inclination of the plane with the horizontal would be: (where \[\mu \] is the coefficient of friction between the mass and surface)

    A)  \[{{\tan }^{-1}}\left( \mu  \right)\]                         

    B)  \[{{\tan }^{-1}}\left( \frac{\mu }{2} \right)\]

    C)  \[{{\tan }^{-1}}\left( \frac{\mu }{m} \right)\]                     

    D)  \[{{\cos }^{-1}}\left( \mu  \right)\]

    E)  \[{{\tan }^{-1}}\left( \frac{m}{\mu } \right)\]

    Correct Answer: A

    Solution :

                                    \[\mu =\tan \theta \]where, \[\theta =\]angle of repose\[\Rightarrow \]             \[\theta ={{\tan }^{-}}(\mu )\]


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