Boundary conditions and modes of the vertically hanging chain

Y. Verbin

Research output: Contribution to journalArticlepeer-review


The hanging chain is a very instructive system for demonstrating more advanced methods and ideas for the analysis of normal modes of one-dimensional systems, beyond the standard ordinary (horizontal) string. Accordingly, the normal modes of the hanging chain are analysed with several cases of boundary conditions and are compared to the ordinary vibrating string.

Original languageEnglish
Article number015005
JournalEuropean Journal of Physics
Issue number1
StatePublished - 1 Jan 2015

Bibliographical note

Publisher Copyright:
© 2015 IOP Publishing Ltd.


  • boundary value problems
  • one-dimensional mechanical waves
  • physics education


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