Question: An optimally damped vibration absorber is being designed for a primary system of natural frequency (100 mathrm{rad} / mathrm{s}). The mass of the machine is

An optimally damped vibration absorber is being designed for a primary system of natural frequency \(100 \mathrm{rad} / \mathrm{s}\). The mass of the machine is \(50 \mathrm{~kg}\) and the mass of the absorber is to be \(10 \mathrm{~kg}\).

(a) What is the natural frequency of the absorber?

(b) What damping ratio is to be used for the absorber?

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