Replace the force system by an equivalent resultant force and couple moment at point O. Take F3 = {-200i+ 400j – 250k} N. (Eigure 1)
Replace the force system by an equivalent resultant force and couple moment at point O. Take F3 = {-200i+ 400j – 250k} N. (Eigure 1)
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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![## Educational Content on Resultant Force and Couple Moment
### Problem Statement
Replace the force system by an equivalent resultant force and couple moment at point \( O \). Take
\[
\mathbf{F}_3 = \{-200\mathbf{i} + 400\mathbf{j} - 250\mathbf{k}\} \text{ N}.
\]
[Figure 1]
### Diagram Explanation
The figure illustrates a 3D coordinate system with an applied force system. It includes:
- A point \( O \) located in the \( x \), \( y \), and \( z \) space.
- A force \( F_1 = 300 \text{ N} \) acting upwards along the \( z \)-axis, located at a point 2 meters in the \( x \)-direction from \( O \).
- A force \( F_2 = 200 \text{ N} \) acting parallel along the \( x \)-axis, located 1.5 meters below on the \( y \)-axis from \( O \).
- A force \( F_3 = \{-200\mathbf{i} + 400\mathbf{j} - 250\mathbf{k}\} \text{ N} \), depicted by a vector in the negative \( x \)-direction, positive \( y \)-direction, and negative \( z \)-direction.
### Part A: Resultant Force
**Objective:** Determine the resultant force.
**Instructions:**
Enter the \( x \), \( y \), and \( z \) components of the force separated by commas using three significant figures.
**Input Field:**
\[
(F_R)_x, (F_R)_y, (F_R)_z = \quad \text{N}
\]
### Part B: Equivalent Resultant Couple Moment
**Objective:** Determine the equivalent resultant couple moment about point \( O \).
**Instructions:**
Enter the \( x \), \( y \), and \( z \) components of the moment separated by commas using three significant figures.
**Input Field:**
\[
(M_{R,O})_x, (M_{R,O})_y, (M_{R,O})_z = \quad \text{N} \cdot \text{m}
\]
> Click “Submit” after entering your answers. You can also request the answer if needed.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdf1d0bb8-6fc4-423e-9784-469bf31e55bd%2F955008a6-1559-497f-ac24-6dd514055d52%2Fe9oplj4_processed.png&w=3840&q=75)
Transcribed Image Text:## Educational Content on Resultant Force and Couple Moment
### Problem Statement
Replace the force system by an equivalent resultant force and couple moment at point \( O \). Take
\[
\mathbf{F}_3 = \{-200\mathbf{i} + 400\mathbf{j} - 250\mathbf{k}\} \text{ N}.
\]
[Figure 1]
### Diagram Explanation
The figure illustrates a 3D coordinate system with an applied force system. It includes:
- A point \( O \) located in the \( x \), \( y \), and \( z \) space.
- A force \( F_1 = 300 \text{ N} \) acting upwards along the \( z \)-axis, located at a point 2 meters in the \( x \)-direction from \( O \).
- A force \( F_2 = 200 \text{ N} \) acting parallel along the \( x \)-axis, located 1.5 meters below on the \( y \)-axis from \( O \).
- A force \( F_3 = \{-200\mathbf{i} + 400\mathbf{j} - 250\mathbf{k}\} \text{ N} \), depicted by a vector in the negative \( x \)-direction, positive \( y \)-direction, and negative \( z \)-direction.
### Part A: Resultant Force
**Objective:** Determine the resultant force.
**Instructions:**
Enter the \( x \), \( y \), and \( z \) components of the force separated by commas using three significant figures.
**Input Field:**
\[
(F_R)_x, (F_R)_y, (F_R)_z = \quad \text{N}
\]
### Part B: Equivalent Resultant Couple Moment
**Objective:** Determine the equivalent resultant couple moment about point \( O \).
**Instructions:**
Enter the \( x \), \( y \), and \( z \) components of the moment separated by commas using three significant figures.
**Input Field:**
\[
(M_{R,O})_x, (M_{R,O})_y, (M_{R,O})_z = \quad \text{N} \cdot \text{m}
\]
> Click “Submit” after entering your answers. You can also request the answer if needed.
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