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This is a very broad question.

If you are talking about vibrational modes of a mechanical structure, the usual method is to put accelerometers and vibration meters on it and smack it with a hammer and see which frequencies last longest.

If you are talking about a mathematical system, then this is advanced linear algebra that is usually not encountered until Masters and PhD Mathematics or Physics and not something to be answered in a short essay.

There may be other senses of the phrase "normal modes". Try getting more specific and re-post your question.

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13y ago

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