Using the figure shown, and initial displacement of 2.5 mm and it starts from rest and the motion of the 5 kg block as the generalized coordinate. Determine: a. mass, spring, damping equivalent b. damping ratio c. logarithmic decrement and overshoot of the system

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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.