Discussion
The frequency that would occur for two complex poles if the damping were equal to zero is called :
Answer: C
It is the natural frequency.
For a second-order system with poles at \(s = -\zeta\omega_{n} \pm j\omega_{n}\sqrt{1 - \zeta^{2}}\), the undamped natural frequency \(\omega_{n}\) is the frequency of oscillation that would occur if the damping ratio \(\zeta\) were zero; the poles then lie on the imaginary axis at \(\pm j\omega_{n}\). With damping, the system oscillates at the lower damped frequency \(\omega_{d} = \omega_{n}\sqrt{1 - \zeta^{2}}\).
'Forced damping frequency', 'critical damping frequency' and 'conditional frequency' are not standard names for this quantity.
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