An oscillator system without damping has a natural frequency of omega 0 = pi rad/s.  Several types of attenuation are given to the system to provide a damping factor (y) of 0.1, 0.5 and 1 s^-1.  (a) For each damping factor value, determine the omega value of the oscillator!.  (b) determine the displacement at time t = 2 seconds for the damping factor y = 0.5 , if the displacement at t = O is 30 mm and v = 1.5 m/s

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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.