On the stability of four legged tables

Physics – Mathematical Physics

Scientific paper

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Scientific paper

10.1016/j.physleta.2006.08.053

We prove that a perfect four-feet square table, posed in a continuous
irregular ground with a local slope of at most 15 degrees can be put in
equilibrium on the ground by a "rotation" of less than 90 degrees. We also
discuss the case of non-square tables and make the conjecture that equilibrium
can be found if the four feet are on a circle

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