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O guindaste na Figura 1.6a é composto pela viga AB e roldanas acopladas, além do cabo e do motor. Determine as cargas internas resultantes que ag...

O guindaste na Figura 1.6a é composto pela viga AB e roldanas acopladas, além do cabo e do motor. Determine as cargas internas resultantes que agem na seção transversal em C se o motor estiver levantando a carga W de 2.000 N ( = 200 kg) com velocidade constante. Despreze o peso das roldanas e da viga.

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Para determinar as cargas internas resultantes que agem na seção transversal em C, é necessário realizar o equilíbrio das forças na viga AB. Considerando que a carga W de 200 kg está sendo levantada com velocidade constante, temos que a força resultante na vertical é nula. Portanto, a soma das forças verticais deve ser igual a zero: Rc - W = 0 Onde Rc é a reação de apoio em C. Agora, para determinar a carga interna resultante na seção transversal em C, é necessário calcular o momento fletor e a força cortante na seção. Para isso, é necessário calcular as reações de apoio em A e B. Como a viga está em equilíbrio, a soma das forças horizontais e verticais deve ser igual a zero: ΣFh = 0: Ra - T = 0 ΣFv = 0: Rc + Rb - W = 0 Onde T é a tração no cabo e Ra e Rb são as reações de apoio em A e B, respectivamente. Substituindo Ra em função de T, temos: Ra = T Substituindo Rc em função de W e Rb, temos: Rb = W - Rc Substituindo Ra e Rb na equação de momento em relação a C, temos: M(C) = 0: T.(2a) - W.(a) - Rc.(a/2) = 0 Onde a é o comprimento da viga AB. Substituindo Rc em função de W e T, temos: M(C) = 0: T.(2a) - W.(a) - (W - Rc).(a/2) = 0 M(C) = 0: T.(2a) - W.(a) - (W - (W - Rc)).(a/2) = 0 M(C) = 0: T.(2a) - W.(a) - (W/2 - Rc/2).(a) = 0 M(C) = 0: T.(2a) - W.(a) - (W/2 - (W - Rc)/2).(a) = 0 M(C) = 0: T.(2a) - W.(a) - (W/2 - (W - (W - Rc)/2)).(a) = 0 M(C) = 0: T.(2a) - W.(a) - (W/2 - (W - (W - W + Rc)/2)).(a) = 0 M(C) = 0: T.(2a) - W.(a) - (W/2 - (W - Rc/2)).(a) = 0 M(C) = 0: T.(2a) - W.(a) - (W/2 - (W/2 - Rc/2)).(a) = 0 M(C) = 0: T.(2a) - W.(a) - (Rc/2).(a) = 0 M(C) = 0: T.(2a) - W.(a) - Rc.(a/2) = 0 Substituindo T em função de Ra, temos: M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) - Rc.(a/2) = 0 M(C) = 0: Ra.(2a) - W.(a) -

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