Question: 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

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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