Calculate the three lowest natural frequencies of a solid (20-mathrm{cm}) radius steel shaft (left(G=80 times 10^{9} mathrm{~N}
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Calculate the three lowest natural frequencies of a solid \(20-\mathrm{cm}\) radius steel shaft \(\left(G=80 \times 10^{9} \mathrm{~N} / \mathrm{m}^{2}, ho=7500 \mathrm{~kg} / \mathrm{m}^{3}\right)\) with a length of \(1.5 \mathrm{~m}\) that is fixed at one end and free at its other end.
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