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On the stability of four-legged tables
We prove that a perfect square table with four legs, placed on continuous irregular ground with a local slope of at most 14.4 degrees and later 35 degrees, can be put into equilibrium on the ground by a "rotation" of less than 90 degrees. We also discuss the case of non-square tables and m...
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| Lenguaje: | eng |
| Publicado: |
2005
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| Acceso en línea: | https://dx.doi.org/10.1016/j.physleta.2006.08.053 http://cds.cern.ch/record/897121 |
| _version_ | 1780908627875332096 |
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| author | Martin, André Jean |
| author_facet | Martin, André Jean |
| author_sort | Martin, André Jean |
| collection | CERN |
| description | We prove that a perfect square table with four legs, placed on continuous irregular ground with a local slope of at most 14.4 degrees and later 35 degrees, can be put into 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 lie on a circle. |
| id | cern-897121 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 2005 |
| record_format | invenio |
| spelling | cern-8971212019-09-30T06:29:59Zdoi:10.1016/j.physleta.2006.08.053http://cds.cern.ch/record/897121engMartin, André JeanOn the stability of four-legged tablesMathematical Physics and MathematicsWe prove that a perfect square table with four legs, placed on continuous irregular ground with a local slope of at most 14.4 degrees and later 35 degrees, can be put into 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 lie on a circle.math-ph/0510065CERN-PH-TH-2005-197CERN-PH-TH-2006-117oai:cds.cern.ch:8971212005-10-17 |
| spellingShingle | Mathematical Physics and Mathematics Martin, André Jean On the stability of four-legged tables |
| title | On the stability of four-legged tables |
| title_full | On the stability of four-legged tables |
| title_fullStr | On the stability of four-legged tables |
| title_full_unstemmed | On the stability of four-legged tables |
| title_short | On the stability of four-legged tables |
| title_sort | on the stability of four-legged tables |
| topic | Mathematical Physics and Mathematics |
| url | https://dx.doi.org/10.1016/j.physleta.2006.08.053 http://cds.cern.ch/record/897121 |
| work_keys_str_mv | AT martinandrejean onthestabilityoffourleggedtables |