3.114 A couple of magnitude M = 80 lb in. and the three forces shown are applied to an angle bracket. (a) Find the resultant of this system of forces. (b) Locate the points where the line of action of the resultant intersects line AB and line BC. M 10 lb 12 in. 25 lb 60° 8 in. 40 lb

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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### Problem 3.114

A couple of magnitude \( M = 80 \, \text{lb} \cdot \text{in.} \) and the three forces shown are applied to an angle bracket. 

(a) Find the resultant of this system of forces. 

(b) Locate the points where the line of action of the resultant intersects line \( AB \) and line \( BC \).

#### Diagram Explanation

The diagram depicts an angle bracket with three forces and a couple applied to it:

- **Point A**: A 10 lb force is acting horizontally to the left, with a 12 in. lever arm.
- **Point B**: A 25 lb force is acting at a 60° angle upward to the right.
- **Point C**: A 40 lb force is acting horizontally to the right.
- **Couple at Point A**: A couple \( M \) with magnitude \( 80 \, \text{lb} \cdot \text{in.} \) is creating a moment.

The dimensions are given as follows:

- Horizontal distance from Point A to Point B is 12 in.
- Vertical distance from Point B to Point C is 8 in.

This problem involves calculating the resultant force and moment and determining where the line of action intersects specified points.
Transcribed Image Text:### Problem 3.114 A couple of magnitude \( M = 80 \, \text{lb} \cdot \text{in.} \) and the three forces shown are applied to an angle bracket. (a) Find the resultant of this system of forces. (b) Locate the points where the line of action of the resultant intersects line \( AB \) and line \( BC \). #### Diagram Explanation The diagram depicts an angle bracket with three forces and a couple applied to it: - **Point A**: A 10 lb force is acting horizontally to the left, with a 12 in. lever arm. - **Point B**: A 25 lb force is acting at a 60° angle upward to the right. - **Point C**: A 40 lb force is acting horizontally to the right. - **Couple at Point A**: A couple \( M \) with magnitude \( 80 \, \text{lb} \cdot \text{in.} \) is creating a moment. The dimensions are given as follows: - Horizontal distance from Point A to Point B is 12 in. - Vertical distance from Point B to Point C is 8 in. This problem involves calculating the resultant force and moment and determining where the line of action intersects specified points.
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