Tuesday, 30 September 2014

classical mechanics - Does the speed of a wave travelling through a chain vary based on the size of the links?


If you have a single, linear, physical, steel chain, and you initiate a wave motion that travels through this chain, how would the speed or momentum of the wave vary based on the thickness and/or length of each link in the chain?


Assume that the force applied to the wave, the total length of the chain, the total weight of the chain, and all other characteristics remain the same -- the only variables are the thicknesses and lengths of the individual links in the chain.


Similarly, how would the speed or momentum of that same wave be different if there were no links at all in the chain, but rather a continuous steel cable of the same weight and length, but just in cable form vs. in chain link form.




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