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Resonance
● VERBATIM — examined word-for-wordOccurs when the driving frequency equals the natural frequency of the system: there is maximum rate of energy transfer from driver to system and the amplitude is maximum.
What this actually means
Resonance is the matched condition: the driving frequency equals the natural frequency. Energy then flows from driver to system at the maximum rate, and the amplitude peaks.
All three phrases earn: f_d = f₀, maximum rate of energy transfer, maximum amplitude. Write all three.
Amplitude at resonance is large but finite; damping caps it (see the resonance section).
Prove it — watch it be true
- Sweep f_d slowly across f₀
- Watch the response amplitude climb, peak at the match, then fall
- The peak of that curve is resonance, by definition