Tagged Questions
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Young's Modulus and Vibrating String Harmonics
I was wondering how Young's Modulus effects the resonant harmonics of a vibrating (string instrument) string. I know that the string's fundamental frequency is $$\frac{1}2 \times \text{Length} \times ...
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How can Hilbert spaces be used to study the harmonics of vibrating strings?
The overtones of a vibrating string.
These are eigenfunctions of an associated Sturm–Liouville problem.
The eigenvalues 1,1/2,1/3,… form the (musical) harmonic series.
How can Hilbert spaces be ...
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resonance frequency [closed]
A string has a mass per unit length of 9 10–3 kg/m. What must be the tension in the string if its second harmonic has the same frequency as the second resonance mode of a 2m long pipe open at one end? ...
