B Part B - Moment due to a force specified as a Cartesian vector As shown, 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-120 Nj+50 N k. The dimensions are x₁ = 4.25 m, y₁ = 6.25 m, and z₁ = 2.25 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.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
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Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
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Z
B
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 - 120 Nj+50 N k. The dimensions are x₁ = 4.25 m, y₁ = 6.25 m, and z₁ = 2.25 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.
Transcribed Image Text:Z B 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 - 120 Nj+50 N k. The dimensions are x₁ = 4.25 m, y₁ = 6.25 m, and z₁ = 2.25 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.
Z
B
F₂
Part C - Moment due to two forces
As shown, a member is fixed at the origin, point O, and has two applied forces, F₁ and F2, applied at the free end, point B.
(Figure 3)
154.0⁰,
The forces are given by F₁ = 90 Ni-115 Nj+80 N k and F2 has magnitude 165 N and direction angles a =
B = 85.0°, and y = 64.6°. The dimensions are x₁ = 3.95 m, y₁ = 5.65 m, and 2₁ = 1.95 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.
Transcribed Image Text:Z B F₂ Part C - Moment due to two forces As shown, a member is fixed at the origin, point O, and has two applied forces, F₁ and F2, applied at the free end, point B. (Figure 3) 154.0⁰, The forces are given by F₁ = 90 Ni-115 Nj+80 N k and F2 has magnitude 165 N and direction angles a = B = 85.0°, and y = 64.6°. The dimensions are x₁ = 3.95 m, y₁ = 5.65 m, and 2₁ = 1.95 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.
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