An Oscillatory system consists of a mass, m = 120 slugs, a spring constant, k = 40 lb/in, and a damping coefficient, c = 5lb.sec/in. Determine a.The natural frequency. b.The damping ratio. c.The damped frequency. d.The maximum amplitude if u0 = 0.2in and v0 = 0.5in/sec.

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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.