A gramophone record is revolving with an angular velocity $\omega$. A coin is placed at a distance $r$ from the centre of the record. The static coefficient of friction is $\mu  .$ The coin will revolve with the record if

  • [AIPMT 2010]
  • A

    $r=\mu g{\omega ^2}$

  • B

    $r < \frac{{{\omega ^2}}}{{\mu {\rm{g}}}}$

  • C

    $r  \le  \frac{{\mu {\rm{g}}}}{{{\omega ^2}}}$

  • D

    $r \ge \frac{{\mu {\rm{g}}}}{{{\omega ^2}}}$

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