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http://hdl.handle.net/1843/58332| Type: | Artigo de Periódico |
| Title: | Periodic roads and quantized wheels |
| Authors: | Eduardo de Campos Valadares |
| Abstract: | We propose a simple approach to determine all possible wheels that can roll smoothly without slipping on a periodic roadbed, while maintaining the center of mass at a fixed height. We also address the inverse problem that of obtaining the roadbed profile compatible with a specific wheel and all other related “quantized wheels.” The role of symmetry is highlighted, which might preclude the center of mass from remaining at a fixed height. A straightforward consequence of such geometric quantization is that the gravitational potential energy and the moment of inertia are discrete, suggesting a parallelism between macroscopic wheels and nano-systems, such as carbon nanotubes. |
| Subject: | Gravitação Mecânica Newtoniana Geometria euclidiana Funções complexas Nanotubos |
| language: | eng |
| metadata.dc.publisher.country: | Brasil |
| Publisher: | Universidade Federal de Minas Gerais |
| Publisher Initials: | UFMG |
| metadata.dc.publisher.department: | ICX - DEPARTAMENTO DE FÍSICA |
| Rights: | Acesso Restrito |
| metadata.dc.identifier.doi: | https://doi.org/10.1119/1.4955148 |
| URI: | http://hdl.handle.net/1843/58332 |
| Issue Date: | 2016 |
| metadata.dc.url.externa: | https://pubs.aip.org/aapt/ajp/article-abstract/84/8/581/1042031/Periodic-roads-and-quantized-wheels?redirectedFrom=fulltext |
| metadata.dc.relation.ispartof: | American Journal of Physics |
| Appears in Collections: | Artigo de Periódico |
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