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Universidade Federal do Rio de Janeiro

Uma formalização da mecânica analítica dos sistemas de corpos rígidos

Abstract

dc:description.abstract

The Lagrange's equations for systems of rigid bodies are obtained directly from the laws of motion for a rigid body, without the preliminary study of systems with a finite number of parti eles. ln doing so, the role of the evolution law for the angular momentum is made clear for the development of the theory. We obtain Euler's equation for a rigid body with a fixed point from Lagrange's equations, without using Euler's angles. And an elementary proof for the velocity field of a rigid body moving with a fixed point is presented.

Degree

thesis:*
Grantor dc:publisher
Universidade Federal do Rio de Janeiro
Year dc:date.issued
1980

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Soares, Pius Paravidino de Macedo
Advisor dc:contributor.advisor
  • Martins, Luiz Carlos

Subjects

dc:subject × 3

Rights

dc:rights
Statement dc:rights
  • Acesso Aberto
Language dc:language
por

Identifiers

dc:identifier.*
Handle dc:identifier.uri
http://hdl.handle.net/11422/3649
OAI identifier oai:identifier
oai:pantheon.ufrj.br:11422/3649

Chain of custody

source
Harvested from
Brazil UERJ
Base URL
pantheon.ufrj.br/oai/request
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
citation

Soares, Pius Paravidino de Macedo. Uma formalização da mecânica analítica dos sistemas de corpos rígidos. Universidade Federal do Rio de Janeiro, 1980. http://hdl.handle.net/11422/3649