Show that, for small values of damping, the damping ratio (zeta) can be expressed as [zeta=frac{omega_{2}-omega_{1}}{omega_{2}+omega_{1}}] where
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Show that, for small values of damping, the damping ratio \(\zeta\) can be expressed as
\[\zeta=\frac{\omega_{2}-\omega_{1}}{\omega_{2}+\omega_{1}}\]
where \(\omega_{1}\) and \(\omega_{2}\) are the frequencies corresponding to the half-power points.
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