question archive A uniform cylinder weighing 100 N rolls without slipping on a horizontal surface as shown in the figure

A uniform cylinder weighing 100 N rolls without slipping on a horizontal surface as shown in the figure

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A uniform cylinder weighing 100 N rolls without slipping on a horizontal surface as shown in the figure. The spring and dampers are connected to a small frictionless pin located r / 2 from the center G of the 20 cm diameter cylinder. Determine: (a) The differential equation of motion; (b) The damping ratio (assume values ??of k and c); (c) The type of movement.

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