\( A \operatorname{rod} A B \) of length \( 2 \mathrm{~m} \) is hinged at point \( A \) and its ...

\( A \operatorname{rod} A B \) of length \( 2 \mathrm{~m} \) is hinged at point \( A \) and its other end \( B \) is attached to a platform on which a block of mass \( m \) is kept. Rod rotates about point \( A \) maintaining angle \( \theta=30^{\circ} \) with the vertical in such a way that platform remains horizontal and revolves on the horizontal circular path. If the coefficient of static friction between the block and platform is \( \mu=0.1 \), then find the maximum angular velocity in \( \mathrm{rad} \mathrm{s}^{-1} \) of rod so that the block does not slip on the platform. \( \left(g=10 \mathrm{~m} \mathrm{~s}^{-2}\right) \)