Circular motion and friction

2010 AIPMT-PRE 1 question

1. 1 Laws of Motion
   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 $r \geq \frac{\mu g}{\omega^2}$ B $r = \mu g\omega^2$ C $r < \frac{\omega^2}{\mu g}$ D $r \leq \frac{\mu g}{\omega^2}$
   Check Answer