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Part A - Moment due to a force specified by magnitude and endpoints As shown, a member is fixed at the origin, point O,
Part A - Moment due to a force specified by magnitude and endpoints As shown, a member is fixed at the origin, point O, and has an applied force F, the tension in the rope, applied at the free end, point B. (Figure 1) The force has magnitude F = 140 N and is directed as shown. The dimensions are x1 = 0.450 m, x2 = 1.80 m, y1 = 2.60 m, and z1 = 1.30 m. What is the moment about the origin due to the applied force F? Express the individual components of the Cartesian vector to three significant figures, separated by commas. Figure 10 Part B - Moment due to a force specified as a Cartesian vector As shown, a member is fixed at the origin, point O, and has an applied force F, the tension in the rope, applied at the free end, point B. (Figure 2) The force is given by F=120 Ni-135 N j+70 N k. The dimensions are x1 = 1.35 m, y1 = 1.90 m, and z1 = 1.05 m. What is the moment about the origin due to the applied force F? Express the individual components of the Cartesian vector to three significant figures, separated by commas. Figure Part C - Moment due to two forces As shown, a member is fixed at the origin, point O, and has two applied forces, Fland F2, applied at the free end, point B. (Figure 3) The forces are given by F1=105 N i150 N j+55 N k and F2 has magnitude 165 N and direction angles a=142.0, =85.00, and y=52.40. The dimensions are x1 = 1.40 m, y1 = 1.75 m, and z1 = 1.20 m. What is the moment about the origin due to the applied forces? Express the individual components of the Cartesian vector to three significant figures, separated by commas. Figure 3 of 3
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