Center of mass of a system of variable mass particles

Detalhes bibliográficos
Autor(a) principal: Thomaz,M.T.
Data de Publicação: 2019
Outros Autores: Silva,E.V. Corrêa
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Revista Brasileira de Ensino de Física (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172019000300420
Resumo: Abstract We study the dynamics of the center of mass (CM) of a set of particles when the number of particles in the system varies during a short interval of time, or when the value of the mass of one of the particles depends on time. We show that in both situations, while the population or mass of the system varies, the linear momentum of the CM differs from the total linear momentum of the system. During this time interval, the dynamics of the CM is driven by the external forces that act on the system plus transient forces that depend on the position and velocity of the CM. This dynamics is applied to study the time evolution of the vector position of the CM of a system of free particles moving on an air rail in which the mass of one the particles varies in a short time interval. We want to show it to students that with the knowledge and tools they have at an elementary Mechanics course they can formulate and answer questions which are not in the textbooks.
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spelling Center of mass of a system of variable mass particlesClassical Mechanicscenter of masslinear momentumvariable massvariable number of particlesone-dimensional motionAbstract We study the dynamics of the center of mass (CM) of a set of particles when the number of particles in the system varies during a short interval of time, or when the value of the mass of one of the particles depends on time. We show that in both situations, while the population or mass of the system varies, the linear momentum of the CM differs from the total linear momentum of the system. During this time interval, the dynamics of the CM is driven by the external forces that act on the system plus transient forces that depend on the position and velocity of the CM. This dynamics is applied to study the time evolution of the vector position of the CM of a system of free particles moving on an air rail in which the mass of one the particles varies in a short time interval. We want to show it to students that with the knowledge and tools they have at an elementary Mechanics course they can formulate and answer questions which are not in the textbooks.Sociedade Brasileira de Física2019-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172019000300420Revista Brasileira de Ensino de Física v.41 n.3 2019reponame:Revista Brasileira de Ensino de Física (Online)instname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/1806-9126-rbef-2018-0344info:eu-repo/semantics/openAccessThomaz,M.T.Silva,E.V. Corrêaeng2019-05-15T00:00:00Zoai:scielo:S1806-11172019000300420Revistahttp://www.sbfisica.org.br/rbef/https://old.scielo.br/oai/scielo-oai.php||marcio@sbfisica.org.br1806-91261806-1117opendoar:2019-05-15T00:00Revista Brasileira de Ensino de Física (Online) - Sociedade Brasileira de Física (SBF)false
dc.title.none.fl_str_mv Center of mass of a system of variable mass particles
title Center of mass of a system of variable mass particles
spellingShingle Center of mass of a system of variable mass particles
Thomaz,M.T.
Classical Mechanics
center of mass
linear momentum
variable mass
variable number of particles
one-dimensional motion
title_short Center of mass of a system of variable mass particles
title_full Center of mass of a system of variable mass particles
title_fullStr Center of mass of a system of variable mass particles
title_full_unstemmed Center of mass of a system of variable mass particles
title_sort Center of mass of a system of variable mass particles
author Thomaz,M.T.
author_facet Thomaz,M.T.
Silva,E.V. Corrêa
author_role author
author2 Silva,E.V. Corrêa
author2_role author
dc.contributor.author.fl_str_mv Thomaz,M.T.
Silva,E.V. Corrêa
dc.subject.por.fl_str_mv Classical Mechanics
center of mass
linear momentum
variable mass
variable number of particles
one-dimensional motion
topic Classical Mechanics
center of mass
linear momentum
variable mass
variable number of particles
one-dimensional motion
description Abstract We study the dynamics of the center of mass (CM) of a set of particles when the number of particles in the system varies during a short interval of time, or when the value of the mass of one of the particles depends on time. We show that in both situations, while the population or mass of the system varies, the linear momentum of the CM differs from the total linear momentum of the system. During this time interval, the dynamics of the CM is driven by the external forces that act on the system plus transient forces that depend on the position and velocity of the CM. This dynamics is applied to study the time evolution of the vector position of the CM of a system of free particles moving on an air rail in which the mass of one the particles varies in a short time interval. We want to show it to students that with the knowledge and tools they have at an elementary Mechanics course they can formulate and answer questions which are not in the textbooks.
publishDate 2019
dc.date.none.fl_str_mv 2019-01-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172019000300420
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172019000300420
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/1806-9126-rbef-2018-0344
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Física
publisher.none.fl_str_mv Sociedade Brasileira de Física
dc.source.none.fl_str_mv Revista Brasileira de Ensino de Física v.41 n.3 2019
reponame:Revista Brasileira de Ensino de Física (Online)
instname:Sociedade Brasileira de Física (SBF)
instacron:SBF
instname_str Sociedade Brasileira de Física (SBF)
instacron_str SBF
institution SBF
reponame_str Revista Brasileira de Ensino de Física (Online)
collection Revista Brasileira de Ensino de Física (Online)
repository.name.fl_str_mv Revista Brasileira de Ensino de Física (Online) - Sociedade Brasileira de Física (SBF)
repository.mail.fl_str_mv ||marcio@sbfisica.org.br
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