A machine having a mass of 5 kg vibrates in a viscous medium. A harmonic force of 50 N acting on it causes the resonant amplitude of 20 mm with a period of 0.3 sec. (a) Find the damping coefficient (b) if the frequency of exciting force is decreased by 20% with respect to natural frequency, find the maximum amplitude. Find out the increase in amplitude of the forced vibration when damper is removed

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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.