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oscillations on a string

Last updated 2023.02.13 Edit Source

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two fixed ends (node) $L$ units apart

# 1st harmonic

$\lambda=2L$
$$f=\frac{c}{\lambda}$$
$f=\frac{c}{2L}$

# 1st overtone (2nd harmonic)

$\lambda=L$
$f=\frac{c}{L}$

# 2nd overtone (3rd harmonic)

$\lambda=\frac{2L}{3}$
$f=\frac{3c}{2L}$

General equations for the nth harmonic
$$\lambda=\frac{2L}{n}$$
$$f=\frac{nc}{2L}$$