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A thin disk of radius r rolls back and forth in a spherical dish of radius R without slipping. Use energy considerations to show that the motion is simple harmonic for small displacements of the thin disk from its equilibrium position and deduce an expression for the period of the oscillations.

A thin disk of radius r rolls back and forth in a spherical dish of radius R without slipping. Use energy considerations to show that the motion is simple harmonic for small displacements of the thin disk from its equilibrium position and deduce an expression for the period of the oscillations.

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A thin disk of radius r rolls back and forth in a spherical dish of radius R without slipping. Use energy considerations to show that the motion is simple harmonic for small displacements of the thin disk from its equilibrium position and deduce an expression for the period of the oscillations.
Transcribed Image Text:A thin disk of radius r rolls back and forth in a spherical dish of radius R without slipping. Use energy considerations to show that the motion is simple harmonic for small displacements of the thin disk from its equilibrium position and deduce an expression for the period of the oscillations.
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