The mass, damping, and stiffness of the system C k can be adjusted to produce different dynamic responses. Match the frequency response functions (A)-(D) with their corresponding time-histories (W)-(Z).

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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.