Periodic roads and quantized wheels

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dc.creatorEduardo de Campos Valadares
dc.date.accessioned2023-08-29T18:37:11Z
dc.date.accessioned2025-09-08T22:54:38Z
dc.date.available2023-08-29T18:37:11Z
dc.date.issued2016
dc.identifier.doihttps://doi.org/10.1119/1.4955148
dc.identifier.issn1943-2909
dc.identifier.urihttps://hdl.handle.net/1843/58332
dc.languageeng
dc.publisherUniversidade Federal de Minas Gerais
dc.relation.ispartofAmerican Journal of Physics
dc.rightsAcesso Restrito
dc.subjectGravitação
dc.subjectMecânica Newtoniana
dc.subjectGeometria euclidiana
dc.subjectFunções complexas
dc.subjectNanotubos
dc.subject.otherPeriodic roads
dc.subject.otherQuantized wheels
dc.subject.otherBreakdown of symmetry
dc.titlePeriodic roads and quantized wheels
dc.typeArtigo de periódico
local.citation.epage587
local.citation.issue8
local.citation.spage581
local.citation.volume84
local.description.resumoWe 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.
local.identifier.orcidhttps://orcid.org/0000-0001-5483-7525
local.publisher.countryBrasil
local.publisher.departmentICX - DEPARTAMENTO DE FÍSICA
local.publisher.initialsUFMG
local.url.externahttps://pubs.aip.org/aapt/ajp/article-abstract/84/8/581/1042031/Periodic-roads-and-quantized-wheels?redirectedFrom=fulltext

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