A hollow vertical cylinder of radius R is rotated with angular velocity $ω$ about an axis through its center. What is the minimum coefficient of static friction necessary to keep the mass M suspended inside the cylinder as it rotates?

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The wall's normal reaction supplies the centripetal force: N = M ω 2 R . Static friction balances gravity: μ N = M g . μ min ​ = M ω 2 R M g ​ = ω 2 R g ​ . Answer: (D)

Physics - Circular Motion Question with Solution | TestHub

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