Resonant frequencies of stretched string with fixed ends¶
For a string with fixed ends there is only a limited set of frequencies at which standing waves will occur on it. Each possible frequency is a resonant frequency, and the corresponding wave pattern is an oscillation mode. The oscillation mode corresponding to \(N = 1\) is called the fundamental mode or the first harmonic, the mode corresponding to \(N = 2\) is the second harmonic, and so on.
Links:
- resonant_frequency¶
Resonant frequency of the \(m\)-th harmonic. See
temporal_frequency.- Symbol:
f- Latex:
\(f\)
- Dimension:
frequency
- harmonic_number¶
An integer called harmonic number. See
positive_number.- Symbol:
N- Latex:
\(N\)
- Dimension:
dimensionless
- phase_velocity¶
phase_speedof the wave.- Symbol:
v- Latex:
\(v\)
- Dimension:
velocity
- law¶
f = N * v / (2 * l)- Latex:
- \[f = \frac{N v}{2 l}\]