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06_P29InstructorSolution

06_P29InstructorSolution - 6.29 Model Visualize Solve You...

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6.29. Model: You can model the beam as a particle in static equilibrium. Visualize: Solve: Using Newton’s first law, the equilibrium equations in vector and component form are: () net 1 2 G net 1 2 G net 1 2 G 0 N 0 N xx x x yy y y FT T F T F T F =++ = G G GG G Using the free-body diagram yields: 11 2 2 1 1 2 2 G sin sin 0 N cos cos 0 N TT F θθ −+ = + = The mathematical model is reduced to a simple algebraic system of two equations with two unknowns, 1 T and 2 . T Substituting 12 20 , 30 , =° =° and G 9800 N,
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