(omega_{1}) is near (50 mathrm{rad} / mathrm{s}) and (omega_{2}) is near (180 mathrm{rad} / mathrm{s}) A DOF...

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\(\omega_{1}\) is near \(50 \mathrm{rad} / \mathrm{s}\) and \(\omega_{2}\) is near \(180 \mathrm{rad} / \mathrm{s}\)

A DOF system with a cubic nonlinearity has a linear natural frequency of \(120 \mathrm{rad} / \mathrm{s}\). The system is forced by harmonic excitations at different frequencies \(\omega_{1}\) and \(\omega_{2}\). What resonances does the system have under the given circumstances.
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