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 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
- [JEE MAIN 2022]
- 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
$R \geq \frac{\mu g }{\omega^{2}}$
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- [JEE MAIN 2024]