Periodic roads and quantized wheels
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Universidade Federal de Minas Gerais
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Artigo de periódico
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Membros da banca
Resumo
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.
Abstract
Assunto
Gravitação, Mecânica Newtoniana, Geometria euclidiana, Funções complexas, Nanotubos
Palavras-chave
Periodic roads, Quantized wheels, Breakdown of symmetry
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https://pubs.aip.org/aapt/ajp/article-abstract/84/8/581/1042031/Periodic-roads-and-quantized-wheels?redirectedFrom=fulltext