Given: Two forces are acting on a pipe as shown in the figure. The magnitude and the coordinate direction angles of the resultant force. Find: F = 81 lb Plan: 1) Find the forces along CA and

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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**Educational Transcription**

---

**Title: Calculating Resultant Forces on a Pipe**

**Problem GW4**

**Given:** 
Two forces are acting on a pipe as shown in the figure.

**Find:** 
The magnitude and the coordinate direction angles of the resultant force.

**Plan:**
1. Find the forces along CA and CB in the Cartesian vector form.
2. Add the two forces to get the resultant force, **FR**.
3. Determine the magnitude and the coordinate angles of **FR**.

**Explanation of Diagram:**

In the provided diagram, a vertical pipe is shown with two forces acting on it at point C. The diagram includes the following elements:

- A vertical axis (z-axis) aligning with the pipe.
- A base plane with axes marked as x and y.

The forces are represented as:
- **F1 = 100 lb**, directed downward along the line CA. The angle between CA and the y-axis is given as 40°.
- **F2 = 81 lb**, directed along the line CB. 

Other dimensions given in the figure include:
- Distance from point A to the origin along the x-axis is 4 ft.
- Distance from the origin to point B along the x-axis is 7 ft.
- The height from point A to point C is 3 ft.
- The height of point C above the origin is 4 ft.

These dimensions and angles are crucial for resolving the forces into their Cartesian vector components to determine the resultant force.

---
Transcribed Image Text:**Educational Transcription** --- **Title: Calculating Resultant Forces on a Pipe** **Problem GW4** **Given:** Two forces are acting on a pipe as shown in the figure. **Find:** The magnitude and the coordinate direction angles of the resultant force. **Plan:** 1. Find the forces along CA and CB in the Cartesian vector form. 2. Add the two forces to get the resultant force, **FR**. 3. Determine the magnitude and the coordinate angles of **FR**. **Explanation of Diagram:** In the provided diagram, a vertical pipe is shown with two forces acting on it at point C. The diagram includes the following elements: - A vertical axis (z-axis) aligning with the pipe. - A base plane with axes marked as x and y. The forces are represented as: - **F1 = 100 lb**, directed downward along the line CA. The angle between CA and the y-axis is given as 40°. - **F2 = 81 lb**, directed along the line CB. Other dimensions given in the figure include: - Distance from point A to the origin along the x-axis is 4 ft. - Distance from the origin to point B along the x-axis is 7 ft. - The height from point A to point C is 3 ft. - The height of point C above the origin is 4 ft. These dimensions and angles are crucial for resolving the forces into their Cartesian vector components to determine the resultant force. ---
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