$A$ 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

• A
  $R \leq \frac{\mu g}{2 \omega^{2}}$
• B
  $R \leq \frac{\mu g}{\omega^{2}}$
• C
  $R \geq \frac{\mu g}{2 \omega^{2}}$
• D
  $R \geq \frac{\mu g}{\omega^{2}}$