A 300-kg machine is attached to an elastic foundation of stiffness 3.1 x E6 N/m and damping ratio 0.06. When excited by a frequency squared excitation at very large speeds, the machine's steady-state amplitude is 10 mm. What is the maximum steady-state amplitude the machine would experience at lower speeds?

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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.