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A simple damped mechanical harmonic oscillator with damping constant γ is driven by a force ?0?????. Show that the FWHM of the amplitude A(ω) vs. angular frequency ω curve is ?√3. You can assume that Q>>1 and ω is very close to ω0. Formulae in the book can be used. But you will have to reference the page and equation number.
The differential equation of a forced damped harmonic oscillation:
The solution is/;
The amplitude A and phase d as a function of the driving frequency are
The maximum amplitude Amax occurs at the driving frequency given by
Assuming that that Q>>1 and ω is very close to ω0.
Tha graph shows a plot . Note that FWHM =
to plot i have taken
FWHM = 2 x = 3.5
if it helps kindly upvote.
comment below for doubts
A simple damped mechanical harmonic oscillator with damping constant γ is driven by a force ?0?????....
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