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03 How To Find Normal Modes, Charles G. Torre Aug 2014

03 How To Find Normal Modes, Charles G. Torre

Foundations of Wave Phenomena

How do we find the normal modes and resonant frequencies without making a clever guess? Well, you can get a more complete explanation in an upper-level mechanics course, but the gist of the trick involves a little linear algebra. The idea is the same for any number of coupled oscillators, but let us stick to our example of two oscillators.


02 Coupled Oscillators, Charles G. Torre Aug 2014

02 Coupled Oscillators, Charles G. Torre

Foundations of Wave Phenomena

Our next step on the road to a bona fide wave is to consider a more interesting oscillating system: two coupled oscillators.