Newtonian and canonical analysis of the motion of a rope failing from a table

One of the few examples of variable mass systems treated in textbooks is the movement of a rope lying on a table, with a part y(t) hanging and falling. In solving this problem what is usually obtained is v(y), but not y(t). In this work, first we obtain y(t) and then show that it is possible to make...

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Detalhes bibliográficos
Autores: Jimenez, JL, Campos, I, Del-Valle, G, Hernández, G
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2005
País:México
Recursos:Universidad Nacional Autónoma de México
Repositorio:Sistema de Información de la Facultad de Ciencias, UNAM
OAI Identifier:oai:repositorio.fciencias.unam.mx:11154/1389
Acesso em linha:http://hdl.handle.net/11154/1389
Access Level:acceso abierto
Palavra-chave:Education, Scientific Disciplines
Physics, Multidisciplinary
Descrição
Resumo:One of the few examples of variable mass systems treated in textbooks is the movement of a rope lying on a table, with a part y(t) hanging and falling. In solving this problem what is usually obtained is v(y), but not y(t). In this work, first we obtain y(t) and then show that it is possible to make a canonical formulation of the problem, which in this case also permits an expedite approximation to y(t).