A hollow vertical cylinder of radius $R$ is rotated with angular velocity $\omega$ about an axis through its center. What is the minimum coefficient of static friction necessary to keep the mass $M$ suspended on the inside of the cylinder as it rotates?
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$f_{L} \geqslant m g$
$\mu N \geqslant m g$
$u\left(m R w^{2}\right) \geqslant m g$
$\mu \geqslant \frac{g}{R \omega^{2}}$
$u_{\min }=\frac{g}{R w^{2}}=\frac{g}{w^{2} R}$
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