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A uniform solid cylinder of radius r and mass m can roll inside a hollow cylinder of radius R > r without slipping. A pendulum of length l = R−r 2 and mass M = m/2 is attached to the center of the smaller
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A uniform solid cylinder of radius r and mass m can roll inside a hollow cylinder of radius R > r without slipping. A pendulum of length l = R−r 2 and mass M = m/2 is attached to the center of the smaller cylinder. Find the normal frequencies and normal modes of this system.

User Apapa
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Answer: The two answers are in explanation.

Explanation: Please find the attached files for the solution

A uniform solid cylinder of radius r and mass m can roll inside a hollow cylinder-example-1
A uniform solid cylinder of radius r and mass m can roll inside a hollow cylinder-example-2
A uniform solid cylinder of radius r and mass m can roll inside a hollow cylinder-example-3
User Alex Just Alex
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