For the system shown below, the disc of mass M rolls without slip. Assume that the mass M - 11 kg, the damping constant C - 209 Ns/kg and the stiffnesses K - 9,036 N/m, K2 = 4,855 N/m, the radius of the disc R = 0.4 m and the moment of inertia of the disc about its centre I = MR What is the damping ratio of the free vibration of this system? www K1 M K2 No Slip

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Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.