For a simple damped oscillator...(adsbygoogle = window.adsbygoogle || []).push({});

[tex] \text {Apparently if } \beta \ll \omega_0 } \text { then ...}[/tex]

[tex] \omega_d \approx \omega_0[1-\frac {1}{2}(\beta/\omega_0)^2]}[/tex]

Given that:

[tex] \beta=R_m/2m \text { (where } R_m= \text {mechanical resistance) } \text { and } \omega _d=\sqrt{(\omega _0^2-\beta ^2)}[/tex]

How/why is this true? My guess is some kind of

series approximation is used -- but I'm not sure...

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# Damped Harmonic Oscillator Approximation?

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