A 1600kg car suspension system lowered 10 cm when the chassis is fixed on it. Moreover, the oscillation amplitude decreases by 50% each cycle. Calculate the values of (a) the spring constant k (b) the damping constant c for the spring and shock absorber system of one wheel, assuming each wheel supports 400 kg. (c) the damping frequency 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.