Determine the resultant of the three forces shown.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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### Problem 1

**Determine the resultant of the three forces shown.**

#### Diagram Explanation:

The diagram depicts a cartesian coordinate system with three forces acting on an object at point O. The forces have the following characteristics:

1. A force of 500 N acting in the positive y-direction.
2. A force of 424 N acting 45 degrees downward from the negative y-axis.
3. A force of 408 N acting 30 degrees downward from the negative x-axis.

**Dimensions:**
- The origin O is positioned where the axes meet.
- The vertical distance between the origin and the endpoint of the 424 N force is 900 mm.
- The horizontal distances from O to the endpoints of the 500 N and 408 N forces are 500 mm and 450 mm, respectively.
- The vertical distance from O to the top of the 600 mm segment is given as 600 mm.

### Problem 2

(Section for Problem 2 is indicated but not visible in this image.) 

---

This transcription will be formatted on an educational website under a section focused on physics, particularly under vector dynamics and force resultants. The detailed explanation of the diagram provides clarity to students for better understanding and analyzing the forces acting on the object.
Transcribed Image Text:### Problem 1 **Determine the resultant of the three forces shown.** #### Diagram Explanation: The diagram depicts a cartesian coordinate system with three forces acting on an object at point O. The forces have the following characteristics: 1. A force of 500 N acting in the positive y-direction. 2. A force of 424 N acting 45 degrees downward from the negative y-axis. 3. A force of 408 N acting 30 degrees downward from the negative x-axis. **Dimensions:** - The origin O is positioned where the axes meet. - The vertical distance between the origin and the endpoint of the 424 N force is 900 mm. - The horizontal distances from O to the endpoints of the 500 N and 408 N forces are 500 mm and 450 mm, respectively. - The vertical distance from O to the top of the 600 mm segment is given as 600 mm. ### Problem 2 (Section for Problem 2 is indicated but not visible in this image.) --- This transcription will be formatted on an educational website under a section focused on physics, particularly under vector dynamics and force resultants. The detailed explanation of the diagram provides clarity to students for better understanding and analyzing the forces acting on the object.
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