Saturday, January 25, 2020

specific reference - Depression of Water Surface by a Needle


Given a needle of mass $m$ modeled by a cylinder of length $l$ and radius $r$ placed on an infinitely large water surface, what is




  1. The maximum depression in the water surface; and

  2. The equation of the shape of the water surface when depressed?


I'm quite sure this is a simple question that already has been modeled theoretically somewhere, but I haven't been able to find a theoretical treatment of the problem with experimentally verifiable quantities.


In addition, can the treatment of the problem be extended to thin films, for example a thin soap film?




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