(a) The position – time plot of a spring-mass-damper system is as shown - Find the damped frequency. - Find the logarithmic decrement. - Find the damping ratio. Spring Mass Damper 0.8 0.6 0.4 0.2 -0.2 -0.4 -06- -0.8 10 12 14 16 18 20 Time Position

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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.