Q)(a) A spring and mass system is shown in Figure P1.8. Assume that the rotation is small so that the spring deflects horizontally and ignore mass of the rod. Determine the frequency of vibration. (b) If total mass of the rod is m0 , how it will affect the frequency of vibration?

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Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.