Dado o sistema da figura a seguir, calcule os módulos dos co...
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Ano: 2024
Banca:
IBFC
Órgão:
IMBEL
Prova:
IBFC - 2024 - IMBEL - Engenheiro - Engenheiro em Mecatrônica |
Q2439996
Engenharia Mecatrônica
Dado o sistema da figura a seguir, calcule os módulos dos componentes resultantes horizontal e vertical das forças aplicadas e assinale a alternativa correta.
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questão](data:image/png;base64,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)