Harmonics

Harmonics - sinusoidally with the same frequency. Resonant...

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Liu UCD Phy9B 07 32 15-8. Normal Modes A string with both ends fixed, length L, for standing wave to exist: 2 λ n L = n =1, 2, 3, … n L n 2 = Standing wave wavelength L v v f 2 1 1 = = Fundamental frequency 1 2 nf L v n v f n n = = = Harmonics, or overtones if n >1 Wave function t x k A t x y n n SW n ω sin sin ) , ( = n th harmonic is (n-1) th overtone
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Liu UCD Phy9B 07 33 Harmonics µ F L L v f 2 1 2 1 = = Since v = / F Normal mode: a motion in which all particles of the system move
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Unformatted text preview: sinusoidally with the same frequency. Resonant frequency: frequency at which standing waves are produced Multiple resonant frequencies / normal modes for a string Single resonant frequency for a spring / pendulam for string fixed at both ends...
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Harmonics - sinusoidally with the same frequency. Resonant...

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