3D Moment Find the moment about O if F = {11i + -13j} kN, i = 4m, j = 4m, k = 2m. Upload %3D your work for this 3D Moment problem in the next question. Type 4 as the answer to this question.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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### 3D Moment

**Problem Statement:**

Find the moment about point \( O \) if \( \mathbf{F} = \{11\mathbf{i} - 13\mathbf{j}\} \) kN. The coordinates are given as \( i = 4 \, \text{m} \), \( j = 4 \, \text{m} \), and \( k = 2 \, \text{m} \). Upload your work for this 3D Moment problem in the next question. Type 4 as the answer to this question.

**Diagram Explanation:**

The diagram illustrates a pipe structure in a three-dimensional coordinate system (x, y, z). The structure consists of multiple segments connecting at various angles:

- **Point O**: The base or starting point of the structure aligned with the z-axis.
- **Horizontal Segment**: Extending from point O along the x-axis for a distance of \( i = 4 \, \text{m} \).
- **Turn**: A 90-degree bend from the x-direction toward the y-direction.
- **Second Horizontal Segment**: Extends in the y-direction for \( j = 4 \, \text{m} \).
- **Vertical Segment**: Descends vertically downward along the z-axis for \( k = 2 \, \text{m} \).

- **Point B**: The endpoint of the structure where the force \( \mathbf{F} \) is applied.
- **Force \( \mathbf{F} \)**: Positioned at point B, directed along the negative y-axis and positive x-axis resulting in \( \{11\mathbf{i} - 13\mathbf{j}\} \) kN.

This setup is used to calculate the moment about point O, examining the rotational effect of force \( \mathbf{F} \) on the structure.
Transcribed Image Text:### 3D Moment **Problem Statement:** Find the moment about point \( O \) if \( \mathbf{F} = \{11\mathbf{i} - 13\mathbf{j}\} \) kN. The coordinates are given as \( i = 4 \, \text{m} \), \( j = 4 \, \text{m} \), and \( k = 2 \, \text{m} \). Upload your work for this 3D Moment problem in the next question. Type 4 as the answer to this question. **Diagram Explanation:** The diagram illustrates a pipe structure in a three-dimensional coordinate system (x, y, z). The structure consists of multiple segments connecting at various angles: - **Point O**: The base or starting point of the structure aligned with the z-axis. - **Horizontal Segment**: Extending from point O along the x-axis for a distance of \( i = 4 \, \text{m} \). - **Turn**: A 90-degree bend from the x-direction toward the y-direction. - **Second Horizontal Segment**: Extends in the y-direction for \( j = 4 \, \text{m} \). - **Vertical Segment**: Descends vertically downward along the z-axis for \( k = 2 \, \text{m} \). - **Point B**: The endpoint of the structure where the force \( \mathbf{F} \) is applied. - **Force \( \mathbf{F} \)**: Positioned at point B, directed along the negative y-axis and positive x-axis resulting in \( \{11\mathbf{i} - 13\mathbf{j}\} \) kN. This setup is used to calculate the moment about point O, examining the rotational effect of force \( \mathbf{F} \) on the structure.
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