equation 35.1 eq:expwa-string-spectrum

open in the book · parts/03-classical-mechanics/18-exp-waves-acoustics.tex:124

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assumes experiment Melde: standing waves on a driven string ¶
depends_on phenomenon 35.3 Half-frequency response to a modulated tension ¶
depends_on phenomenon 35.2 Standing waves appear only at discrete tensions ¶
step_from equation 35.6 eq:expwa-melde-mathieu ¶
- depends_on remark 35.4 What the reduction does not settle ¶
- step_from equation 35.7 eq:expwa-melde-quarter-load ¶
tests experiment Mersenne: the laws of the vibrating string ¶

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type	direction	node	provenance	where
`assumes`	←	Melde: standing waves on a driven string	declared	parts/03-classical-mechanics/18-exp-waves-acoustics.tex:182
`depends_on`	←	Half-frequency response to a modulated tension	declared	parts/03-classical-mechanics/18-exp-waves-acoustics.tex:268
`depends_on`	←	Standing waves appear only at discrete tensions	declared	parts/03-classical-mechanics/18-exp-waves-acoustics.tex:236
`step_from`	←	eq:expwa-melde-mathieu	declared — inserting the modal expansion into the string equation and projecting on $\sin(n\pi x/L)$	parts/03-classical-mechanics/18-exp-waves-acoustics.tex:292
`tests`	←	Mersenne: the laws of the vibrating string	declared	parts/03-classical-mechanics/18-exp-waves-acoustics.tex:56