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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?
  • A$\mu = \frac{{gR}}{{{\omega ^2}}}$
  • B$\mu =\frac{{{\omega ^2}g}}{R}$
  • C$\mu = \frac{{{\omega ^2}R}}{g}$
  • D$\mu = \frac{g}{{{\omega ^2}R}}$
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