Funções trigonométricas sob a ótica das vibrações mecânicas: uma motivação a mais

• Ano de defesa: 2019
• Autor(a) principal: Madureira Junior, Ismael Soares [UNIFESP]
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal de São Paulo (UNIFESP)
• Palavras-chave em Português: Trigonometric Function; Ordinary Differential Equation; Mechanical Vibrations; Tacoma Narrows Bridge; Função Trigonométrica; Equação Diferencial Ordinária; Vibrações Mecânicas; Ponte De Tacoma Narrows
• Link de acesso: https://sucupira.capes.gov.br/sucupira/public/consultas/coleta/trabalhoConclusao/viewTrabalhoConclusao.jsf?popup=true&id_trabalho=8907959; https://repositorio.unifesp.br/handle/11600/59281

Understanding about the analytical and graphical aspects of trigonometric functions is indispensable to know the behavior of oscillatory phenomena. In this dissertation, the main objective is to emphasize that knowledge about these phenomena can be an additional source of motivation in the classroom. To this, an approach is made to the main topics that collaborate in understanding mechanical oscillations, highlighting the trigonometric functions and the second order ordinary differential equations (ODEs). In addition, many real situations, which generate curiosity are directly related to phenomena of this nature, such as the case of the Tacoma Narrows Bridge. We bring this intriguing historical fact as a motivating agent, to exemplify the important correlation that may exist between understanding aspects of trigonometric functions, the modeling mechanical oscillations, and curious real-life situations.