{"id":{"repo_id":"brazil-uerj","oai_identifier":"oai:pantheon.ufrj.br:11422/3382"},"canonical_url":"https://search.dev.ndltd.org/etd/brazil-uerj/oai:pantheon.ufrj.br:11422/3382","repository":{"repo_id":"brazil-uerj","name":"Brazil UERJ","base_url":"https://pantheon.ufrj.br/oai/request"},"display":{"title":"Uma formalização da mecânica clássica dos corpos rígidos","abstract":"We considera formalization of the rational mechanics of a rigid body under a intrinsic viewpoint. Only elementary concepts of bilinear algebra and measure theory are used. We restrict ourselves to the problems of the determination of the required forces to produce and sustain any well-behaved motion of a given rigid body and then suggest a interpretation for the resolution. of the reciprocal problem. Kinematics is completely reduced to linear algebra. The existence of the angular velocity vector then follows from the representation of the linear part of the derivative of a one-parmeter family of isometries, in opposition to the usual heuristic form in which such vector is commonly introduced.","abstract_html":"We considera formalization of the rational mechanics of a rigid body under a intrinsic viewpoint. Only elementary concepts of bilinear algebra and measure theory are used. We restrict ourselves to the problems of the determination of the required forces to produce and sustain any well-behaved motion of a given rigid body and then suggest a interpretation for the resolution. of the reciprocal problem. Kinematics is completely reduced to linear algebra. The existence of the angular velocity vector then follows from the representation of the linear part of the derivative of a one-parmeter family of isometries, in opposition to the usual heuristic form in which such vector is commonly introduced.","abstract_has_math":false,"creators":["Martins, Luiz Carlos"],"institution":"Universidade Federal do Rio de Janeiro","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["De La Penha, Guilherme"],"committee_chairs":[],"committee_members":[],"year":1970,"date_issued":"1970-01","date_published":"1970-01","updated_at":"2026-07-24T01:16:01Z","subjects":["Mecânica clássica","Álgebra linear"],"languages":["por"],"rights":["Acesso Aberto"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/11422/3382","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["De La Penha, Guilherme"]},{"key":"dc:creator","label":"Author","values":["Martins, Luiz Carlos"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2018-01-03T17:15:49Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2026-05-16T03:04:24Z"]},{"key":"dc:date.issued","label":"Date","values":["1970-01"]},{"key":"dc:publisher","label":"Institution","values":["Universidade Federal do Rio de Janeiro"]},{"key":"dc:publisher.department","label":"Dc Publisher Department","values":["Instituto Alberto Luiz Coimbra de Pós-Graduação e Pesquisa de Engenharia"]},{"key":"dc:type","label":"Dc Type","values":["Dissertação"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Mecânica clássica","Álgebra linear"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["por"]},{"key":"dc:rights","label":"Dc Rights","values":["Acesso Aberto"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/11422/3382"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["We considera formalization of the rational mechanics of a rigid body under a intrinsic viewpoint. Only elementary concepts of bilinear algebra and measure theory are used. We restrict ourselves to the problems of the determination of the required forces to produce and sustain any well-behaved motion of a given rigid body and then suggest a interpretation for the resolution. of the reciprocal problem. Kinematics is completely reduced to linear algebra. The existence of the angular velocity vector then follows from the representation of the linear part of the derivative of a one-parmeter family of isometries, in opposition to the usual heuristic form in which such vector is commonly introduced."]},{"key":"dc:title","label":"Title","values":["Uma formalização da mecânica clássica dos corpos rígidos"]}]}],"canonical_facts":{"dc:contributor.advisor":["De La Penha, Guilherme"],"dc:creator":["Martins, Luiz Carlos"],"dc:date.accessioned":["2018-01-03T17:15:49Z"],"dc:date.available":["2026-05-16T03:04:24Z"],"dc:date.issued":["1970-01"],"dc:description.abstract":["We considera formalization of the rational mechanics of a rigid body under a intrinsic viewpoint. Only elementary concepts of bilinear algebra and measure theory are used. We restrict ourselves to the problems of the determination of the required forces to produce and sustain any well-behaved motion of a given rigid body and then suggest a interpretation for the resolution. of the reciprocal problem. Kinematics is completely reduced to linear algebra. The existence of the angular velocity vector then follows from the representation of the linear part of the derivative of a one-parmeter family of isometries, in opposition to the usual heuristic form in which such vector is commonly introduced."],"dc:identifier.uri":["http://hdl.handle.net/11422/3382"],"dc:language":["por"],"dc:publisher":["Universidade Federal do Rio de Janeiro"],"dc:publisher.department":["Instituto Alberto Luiz Coimbra de Pós-Graduação e Pesquisa de Engenharia"],"dc:rights":["Acesso Aberto"],"dc:subject":["Mecânica clássica","Álgebra linear"],"dc:title":["Uma formalização da mecânica clássica dos corpos rígidos"],"dc:type":["Dissertação"]},"updated_at":"2026-07-24T01:16:01Z"}