Alan Dix Snip!t: Mode Shapes for a Hanging Chain => Bessel Functions

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Snip summary	Take about 30 paper clips, and connect them end-to-end i... Hold one end of the chain in your fingers and let the ot... Gently swing (or twirl) the chain and you should find th... "lock" in on a very specific mode shape which occurs at ... The shapes Mode Shapes for a Hanging Chain => Bessel Functions http://www.kettering.edu/~drussell/Demos/HangChain/HangChain.html

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Full snip	Take about 30 paper clips, and connect them end-to-end in a long chain. Hold one end of the chain in your fingers and let the other end dangle. Gently swing (or twirl) the chain and you should find that the chain will "lock" in on a very specific mode shape which occurs at a particular natural (resonance) frequency. The shapes of vibration which the chain will "lock" onto are defined by Bessel Functions

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Take about 30 paper clips, and connect them end-to-end in a long chain. Hold one end of the chain in your fingers and let the other end dangle. Gently swing (or twirl) the chain and you should find that the chain will "lock" in on a very specific mode shape which occurs at a particular natural (resonance) frequency.
The shapes of vibration which the chain will "lock" onto are defined by Bessel Functions

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