A (40 mathrm{~kg}) pump is to be placed at the midspan of a (2.5-mathrm{m}) long steel ((E=200
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A \(40 \mathrm{~kg}\) pump is to be placed at the midspan of a \(2.5-\mathrm{m}\) long steel \((E=200 \times\) \(10^{9} \mathrm{~N} / \mathrm{m}^{2}\) ) beam. The pump is to operate at \(3000 \mathrm{rpm}\). For what values of the cross-sectional moment of inertia will the oscillations of the pump be within \(3 \mathrm{~Hz}\) of resonance?
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