- #1

mbigras

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## Homework Statement

Show that the fractional change in the resonant frequency ([itex]\Delta \omega/ \omega_{0}[/itex]) of a lightly damped simple harmonic oscillator is ≈ [itex](8Q^{2})^{-1}[/itex].

## Homework Equations

Is this a formula for the resonant frequency?

[tex]

\omega_{m} = \omega_{0}\left(1 - \frac{1}{2Q^{2}}\right)^{1/2}

[/tex]

How would I use this formula?

## The Attempt at a Solution

Right now I'm in a place where I'm not sure what this question is asking. I'm trying to move to a situation where I understand what is being asked. What does fractional change in the resonant frequency mean? What parameter is changing that causes the resonant frequency to change?