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Modes of a String Fixed at Both Ends:


  
Figure 15: First 3 Fundamental Modes of a String
\begin{figure} \begin{center} \leavevmode \epsfxsize=8 cm \epsfbox{figs/harmonics.eps} \end{center}\end{figure}

$\lambda_n = \displaystyle\frac{2}{n} L$

$f_n = \displaystyle\frac{v}{\lambda_n} = \sqrt{\displaystyle\frac{F}{\mu }}\displaystyle\frac{n}{2L}$
gabor@theory.uwinnipeg.ca
2001-01-05