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A uniform rigid disk of radius r rolls without slipping inside a circular track of radius R, as shown. a) Derive the equation of

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A uniform rigid disk of radius r rolls without slipping inside a circular track of radius R, as shown. a) Derive the equation of motion using Newton's method. b) Derive the equation of motion using virtual work method. c) Find the natural frequency of oscillations in a small neighborhood of trivial equilibrium, 0=0. R

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