On the stability of four-legged tables

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2007Embargo end date: 01 Oct 2005 English Publisher:Elsevier BVJournal:Physics Letters A, volume 360, pages 495-500 (issn: 0375-9601,

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Authors: Martin, Andre;

doi: 10.1016/j.physleta.2006.08.053 , 10.48550/arxiv.math-ph/0510065

arXiv: math-ph/0510065

On the stability of four-legged tables

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Abstract

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

Related Organizations

European Organization for Nuclear Research
Switzerland

Keywords

FOS: Physical sciences, Mathematical Physics (math-ph), Mathematical Physics

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