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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
[CBSE PMT 2010]
(a) \( r \geq \frac{\mu \mathrm{g}}{\omega^{2}} \)
(b) \( r=\mu g \omega^{2} \)
(c) \( r\frac{\omega^{2}}{\mu g} \)
(d) \( r \leq \frac{\mu \mathrm{g}}{\omega^{2}} \)
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