When a free-vibration test is run on the system of Figure P4.76, the ratio of amplitudes on successive cycles is 2.8 to 1 . Determine the response of the pump when it has an excitation force of magnitude \(3000 \mathrm{~N}\) at a frequency of \(2000 \mathrm{rpm}\). Assume the damping is hysteretic.

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E 200 x 109 N/m I = 2.4 104 m4 x 215 kg FIGURE P4.76 3.1 m