Deriving differential equation for displacement, Physics

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Deriving differential equation for displacement

Assignment:

A disk of mass in and radius R rolls without slip while restrained by a dashpot with coefficient of viscous damping c in parallel with a spring of stiffness k, as shown in Fig. Derive the differential equation for the displacement x(I) of the disk mass center C and determine the viscous damping factor and the frequency can of undamped oscillation.

100_disk of mass.JPG

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