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T&AM 203 Final Exam

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4) (20 pt) Consider a hollow thin-walled pipe with mass m and radius r. The friction coefficient µ is largeenough so the pipe rolls without slip inside a rigid stationary hollow pipe with radius R. Findthe period of small oscillations (near the bottom) in terms of some or all of m, r, R, µ and thedownwards-point gravity constant g.

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