A disc with a flat small bottom beaker placed on it at a distance R from its center is revolving about an axis passing through the center and perpendicular to its plane with an angular velocity $\omega$. The coefficient of static friction between the bottom of the beaker and the surface of the disc is $\mu$. The beaker will revolve with the disc if :

Question

$R \le {{\mu g} \over {2{\omega ^2}}}$

$R \le {{\mu g} \over {{\omega ^2}}}$

$R \ge {{\mu g} \over {2{\omega ^2}}}$

$R \ge {{\mu g} \over {{\omega ^2}}}$

Solution

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