A uniform disc connected to two springs as shown rolls without slipping horizontally. The displacement variable x is measured from the equilibrium position at the center of the disk, and the moment of inertia J is about the center of the disk. Use energy method to derive the equation of motion, and then find the natural frequency.

A uniform disc connected to two springs as shown rolls without slipping horizontally. The displacement variable x is measured from the equilibrium position at the center of the disk, and the moment of inertia J is about the center of the disk. Use energy method to derive the equation of motion, and then find the natural frequency.

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A uniform disc connected to two springs as shown rolls without slipping horizontally. The displacement variable x is measured from the equilibrium position at the center of the disk, and the moment of inertia J is about the center of the disk. Use energy method to derive the equation of motion, and then find the natural frequency.

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