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Harmonic Wavelengths Of A String Fixed At Two Points Distance L Apart
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Harmonic Wavelengths Of A String Fixed At Two Points Distance L Apart

Harmonic Wavelengths Of A Fixed String Of Distance L

Sinusoids 1, 2 and 3 represent the first, second and third harmonics respectively, of a string fixed at two points distance L apart.

(a) Compare the octaves of 2 and 3 relative to 1.
(b)What is the harmonic wavelength of the fourth harmonic?
(c) What is the general equation that relates the harmonic wavelength of the string to the distance L, between the two fixed points?

The strings: S7P4A44 (Motion - Oscillatory).

The math:
Pj Problem of Interest is of type motion (oscillatory).

Harmonic Wavelengths Of A Fixed String Of Distance L

(a) 2 is one octave above 1.
3 is a fifth above the octave.

(b) L/2

(c) In general, harmonic wavelength = λn = (2L)/n. n =1, 2, 3 ...

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