A machine is excited at a frequency of (30 mathrm{~Hz}) by a force with an amplitude of

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A machine is excited at a frequency of \(30 \mathrm{~Hz}\) by a force with an amplitude of \(200 \mathrm{~N}\). It is desired to eliminate steady-state vibrations of the machine by addition of a vibration absorber.

(a) What frequency should the absorber be tuned?

(b) If the mass of the absorber is \(3 \mathrm{~kg}\), what is the stiffness of the absorber?

(c) When the machine is excited at \(30 \mathrm{~Hz}\), what is the amplitude of vibration of the absorber?

(d) What is the frequency of the absorber vibrations?

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