A carbon nanotube ( (E=1 G P a, ho=2.3 mathrm{~g} / mathrm{cm}^{3}) ) has a length of
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A carbon nanotube ( \(E=1 G P a, ho=2.3 \mathrm{~g} / \mathrm{cm}^{3}\) ) has a length of \(200 \mathrm{~nm}\) and radius of \(5 \mathrm{~nm}\). Using a fixed-free beam model for the nanotube, calculate its first four natural frequencies.
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