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 = 130 Ni - 125 Nj+70 N k. The dimensions are x₁ = 1.35 m, y₁ = 1.70 m, and 21 = 1.15 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. ► View Available Hint(s) Mo =[ VE ΑΣΦ ↓↑ vec wwwwwwww.. ? i, j, k] N.m

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As shown, a member is fixed at the origin, point \( O \), and has an applied force \( \mathbf{F} \), the tension in the rope, applied at the free end, point \( B \).

The force is given by \( \mathbf{F} = 130 \, \text{N} \, \mathbf{i} - 125 \, \text{N} \, \mathbf{j} + 70 \, \text{N} \, \mathbf{k} \). The dimensions are \( x_1 = 1.35 \, \text{m} \), \( y_1 = 1.70 \, \text{m} \), and \( z_1 = 1.15 \, \text{m} \).

What is the moment about the origin due to the applied force \( \mathbf{F} \)?

**Express the individual components of the Cartesian vector to three significant figures, separated by commas.**

\[ \mathbf{M}_O = [ \, ] \, \text{N} \cdot \text{m} \]
Transcribed Image Text:As shown, a member is fixed at the origin, point \( O \), and has an applied force \( \mathbf{F} \), the tension in the rope, applied at the free end, point \( B \). The force is given by \( \mathbf{F} = 130 \, \text{N} \, \mathbf{i} - 125 \, \text{N} \, \mathbf{j} + 70 \, \text{N} \, \mathbf{k} \). The dimensions are \( x_1 = 1.35 \, \text{m} \), \( y_1 = 1.70 \, \text{m} \), and \( z_1 = 1.15 \, \text{m} \). What is the moment about the origin due to the applied force \( \mathbf{F} \)? **Express the individual components of the Cartesian vector to three significant figures, separated by commas.** \[ \mathbf{M}_O = [ \, ] \, \text{N} \cdot \text{m} \]
The image depicts a three-dimensional diagram commonly used in engineering mechanics to illustrate vector forces in a structure. Here is a detailed description of the diagram:

- The diagram features a structure composed of several pipes connected with joints, forming an L-shape. 
- There are three main coordinate axes labeled as \( x \), \( y \), and \( z \), intersecting at the origin point \( O \). Each axis helps define the spatial orientation of the structure.
- The structure connects at different points along the axes, with lengths indicated by \( x_1 \), \( y_1 \), and \( z_1 \). These lengths help determine the position and dimensions of the structure.
- The point \( B \) is marked on the right end of the horizontal arm of the structure.
- At point \( B \), a force vector \( \mathbf{F} \) is shown, indicating that an external force is applied in a specific direction.
- The force vector illustrates both the magnitude and direction of the force acting on the structure.

This setup is typically used in educational materials to analyze how external forces influence the equilibrium and stability of mechanical structures.
Transcribed Image Text:The image depicts a three-dimensional diagram commonly used in engineering mechanics to illustrate vector forces in a structure. Here is a detailed description of the diagram: - The diagram features a structure composed of several pipes connected with joints, forming an L-shape. - There are three main coordinate axes labeled as \( x \), \( y \), and \( z \), intersecting at the origin point \( O \). Each axis helps define the spatial orientation of the structure. - The structure connects at different points along the axes, with lengths indicated by \( x_1 \), \( y_1 \), and \( z_1 \). These lengths help determine the position and dimensions of the structure. - The point \( B \) is marked on the right end of the horizontal arm of the structure. - At point \( B \), a force vector \( \mathbf{F} \) is shown, indicating that an external force is applied in a specific direction. - The force vector illustrates both the magnitude and direction of the force acting on the structure. This setup is typically used in educational materials to analyze how external forces influence the equilibrium and stability of mechanical structures.
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