Mechanical apparatus for the fold catastrophe demonstration

Detalhes bibliográficos
Autor(a) principal: Fiolhais, M.
Data de Publicação: 2021
Outros Autores: Golli, B., Nogueira, R. N.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/96249
https://doi.org/10.1088/1361-6404/abf059
Resumo: We present and discuss a non-expensive mechanical experiment which is very suitable for a classroom demonstration of the fold catastrophe behaviour. The apparatus consists of a bar attached to a pulley, to which a hanging body is connected by means of a thread wrapped around its rim. The system may perform stable oscillations or, else, the body may continuously fall down, while the pulley executes a sequence of 360° rotations. This behaviour is analysed in connection with the shape of the potential, which is a good example of a fold catastrophe potential. For the system to perform stable oscillations, that shape reminds a clothes washboard, with local maxima and minima, a potential well known in superconducting quantum computing. We provide some hints for the instructor to explore the device in lab classes.
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spelling Mechanical apparatus for the fold catastrophe demonstrationWe present and discuss a non-expensive mechanical experiment which is very suitable for a classroom demonstration of the fold catastrophe behaviour. The apparatus consists of a bar attached to a pulley, to which a hanging body is connected by means of a thread wrapped around its rim. The system may perform stable oscillations or, else, the body may continuously fall down, while the pulley executes a sequence of 360° rotations. This behaviour is analysed in connection with the shape of the potential, which is a good example of a fold catastrophe potential. For the system to perform stable oscillations, that shape reminds a clothes washboard, with local maxima and minima, a potential well known in superconducting quantum computing. We provide some hints for the instructor to explore the device in lab classes.MF and RN are grateful to the Portuguese Physical Society and to the Royal Spanish Physical Society for the invitations to deliver talks during their national meetings on 'Catastrophic potentials'. These talks were motivational to write the paper.IOP Sceince2021info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/96249http://hdl.handle.net/10316/96249https://doi.org/10.1088/1361-6404/abf059eng0143-08071361-6404https://iopscience.iop.org/article/10.1088/1361-6404/abf059Fiolhais, M.Golli, B.Nogueira, R. N.info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2022-05-25T01:37:44Zoai:estudogeral.uc.pt:10316/96249Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:14:33.285095Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Mechanical apparatus for the fold catastrophe demonstration
title Mechanical apparatus for the fold catastrophe demonstration
spellingShingle Mechanical apparatus for the fold catastrophe demonstration
Fiolhais, M.
title_short Mechanical apparatus for the fold catastrophe demonstration
title_full Mechanical apparatus for the fold catastrophe demonstration
title_fullStr Mechanical apparatus for the fold catastrophe demonstration
title_full_unstemmed Mechanical apparatus for the fold catastrophe demonstration
title_sort Mechanical apparatus for the fold catastrophe demonstration
author Fiolhais, M.
author_facet Fiolhais, M.
Golli, B.
Nogueira, R. N.
author_role author
author2 Golli, B.
Nogueira, R. N.
author2_role author
author
dc.contributor.author.fl_str_mv Fiolhais, M.
Golli, B.
Nogueira, R. N.
description We present and discuss a non-expensive mechanical experiment which is very suitable for a classroom demonstration of the fold catastrophe behaviour. The apparatus consists of a bar attached to a pulley, to which a hanging body is connected by means of a thread wrapped around its rim. The system may perform stable oscillations or, else, the body may continuously fall down, while the pulley executes a sequence of 360° rotations. This behaviour is analysed in connection with the shape of the potential, which is a good example of a fold catastrophe potential. For the system to perform stable oscillations, that shape reminds a clothes washboard, with local maxima and minima, a potential well known in superconducting quantum computing. We provide some hints for the instructor to explore the device in lab classes.
publishDate 2021
dc.date.none.fl_str_mv 2021
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10316/96249
http://hdl.handle.net/10316/96249
https://doi.org/10.1088/1361-6404/abf059
url http://hdl.handle.net/10316/96249
https://doi.org/10.1088/1361-6404/abf059
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0143-0807
1361-6404
https://iopscience.iop.org/article/10.1088/1361-6404/abf059
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv IOP Sceince
publisher.none.fl_str_mv IOP Sceince
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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