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
A$r=\mu g{\omega ^2}$
B$r < \frac{{{\omega ^2}}}{{\mu {\rm{g}}}}$
C$r \le \frac{{\mu {\rm{g}}}}{{{\omega ^2}}}$
D$r \ge \frac{{\mu {\rm{g}}}}{{{\omega ^2}}}$
AIPMT 2010, Medium
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C$r \le \frac{{\mu {\rm{g}}}}{{{\omega ^2}}}$
c The coin will revolve with the record, if Force of friction $ \ge $ centrifugal force
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