A (1000 mathrm{~kg}) turbine with a rotating unbalance is placed on springs and viscous dampers in parallel.

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A \(1000 \mathrm{~kg}\) turbine with a rotating unbalance is placed on springs and viscous dampers in parallel. When the operating speed is \(20 \mathrm{~Hz}\), the observed steady-state amplitude is \(0.08 \mathrm{~mm}\). As the operating speed is increased, the steady-state amplitude increases with an amplitude of \(0.25 \mathrm{~mm}\) at \(40 \mathrm{~Hz}\) and an amplitude of \(0.5 \mathrm{~mm}\) for much larger speeds. Determine the equivalent stiffness and damping coefficient of this system.

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