**Description:**The educational content provides information on resolving a force vector into its scalar components within different coordinate systems. It also includes a graph and interactive sections for practice.---### Force Vector Illustration- **Force \( F \)**: Magnitude of 200 kN acting 15° from the horizontal.- **Diagram**: The polar grid shows a vector (arrow) originating from the origin. The vector is angled counter-clockwise from the positive x-axis (horizontal axis) at 15°.### Tasks:1. **\( x-y \) Coordinate System:** - **Objective**: Determine the scalar components of \( F \) in the \( x \) and \( y \) directions. - **Inputs**: - \( F_x = \) [Input box] - \( F_y = \) [Input box] - **Action**: Click "Submit part" to verify the answers.2. **\( x'-y' \) Coordinate System:** - **Objective**: Determine the scalar components of \( F \) in the \( x' \) and \( y' \) directions. - **Context**: The coordinate system is rotated 10° counter-clockwise from the original \( x-y \) system. - **Inputs**: - \( F_{x'} = \) [Input box] - \( F_{y'} = \) [Input box] - **Action**: Click "Submit part" to check the answers.---This setup facilitates understanding vector resolution in different coordinate systems, highlighting the effect of rotation on vector components.

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Force F has a magnitude of 200 kN acting 15° from the horizontal. z-y coordinate system Determine the scalar components of F in the and y directions. F₂= Submit part T'-y coordinate system A new coordinate system is created by rotating the z - and y axes 10° counter-clockwise. Determine the scalar components of F in the z' and y' directions. F₂ = Fy= Submit part

Force F has a magnitude of 200 kN acting 15° from the horizontal. z-y coordinate system Determine the scalar components of F in the and y directions. F₂= Submit part T'-y coordinate system A new coordinate system is created by rotating the z - and y axes 10° counter-clockwise. Determine the scalar components of F in the z' and y' directions. F₂ = Fy= Submit part

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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Question

**Description:**

The educational content provides information on resolving a force vector into its scalar components within different coordinate systems. It also includes a graph and interactive sections for practice.

---

### Force Vector Illustration

- **Force \( F \)**: Magnitude of 200 kN acting 15° from the horizontal.
- **Diagram**: The polar grid shows a vector (arrow) originating from the origin. The vector is angled counter-clockwise from the positive x-axis (horizontal axis) at 15°.

### Tasks:

1. **\( x-y \) Coordinate System:**
- **Objective**: Determine the scalar components of \( F \) in the \( x \) and \( y \) directions.
- **Inputs**:
- \( F_x = \) [Input box]
- \( F_y = \) [Input box]
- **Action**: Click "Submit part" to verify the answers.

2. **\( x'-y' \) Coordinate System:**
- **Objective**: Determine the scalar components of \( F \) in the \( x' \) and \( y' \) directions.
- **Context**: The coordinate system is rotated 10° counter-clockwise from the original \( x-y \) system.
- **Inputs**:
- \( F_{x'} = \) [Input box]
- \( F_{y'} = \) [Input box]
- **Action**: Click "Submit part" to check the answers.

---

This setup facilitates understanding vector resolution in different coordinate systems, highlighting the effect of rotation on vector components.

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