%3D Fs=-4i +7j kN. Find the resultant force, its magnitude, and i direction with respect to the positive x-axis.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Answer questions 4-6: 

### Problem 4:
Consider the three forces \( F_1 = 5i + 2j \) kN, \( F_2 = -3i - 8j \) kN, and \( F_3 = -4i + 7j \) kN. Find the resultant force, its magnitude, and its direction with respect to the positive x-axis.

**Answer:**  
Resultant Force: \(-2i + j \) kN  
Magnitude: \(2.24\) kN  
Direction: \(153^\circ\)

### Problem 5:
Consider the three forces \( F_1 = 10i + 9j \) kN, \( F_2 = -8i - 4j \) kN, and \( F_3 = 4i + 5j \) kN. Find the resultant force, its magnitude, and its direction with respect to the positive x-axis.

**Answer:**  
Resultant Force: \(6i + 10j \) kN  
Magnitude: \(11.7\) kN  
Direction: \(59.0^\circ\)

### Problem 6:
Consider the three forces \( F_1 = 2i + 8j + 7k \) lbf, \( F_2 = 3i - j - k \) lbf, and \( F_3 = 3i + j + 2k \) lbf. Find the resultant force and its magnitude.

**Answer:**  
Resultant Force: \(8(i + j + k) \) lbf  
Magnitude: \(13.9\) lbf
Transcribed Image Text:### Problem 4: Consider the three forces \( F_1 = 5i + 2j \) kN, \( F_2 = -3i - 8j \) kN, and \( F_3 = -4i + 7j \) kN. Find the resultant force, its magnitude, and its direction with respect to the positive x-axis. **Answer:** Resultant Force: \(-2i + j \) kN Magnitude: \(2.24\) kN Direction: \(153^\circ\) ### Problem 5: Consider the three forces \( F_1 = 10i + 9j \) kN, \( F_2 = -8i - 4j \) kN, and \( F_3 = 4i + 5j \) kN. Find the resultant force, its magnitude, and its direction with respect to the positive x-axis. **Answer:** Resultant Force: \(6i + 10j \) kN Magnitude: \(11.7\) kN Direction: \(59.0^\circ\) ### Problem 6: Consider the three forces \( F_1 = 2i + 8j + 7k \) lbf, \( F_2 = 3i - j - k \) lbf, and \( F_3 = 3i + j + 2k \) lbf. Find the resultant force and its magnitude. **Answer:** Resultant Force: \(8(i + j + k) \) lbf Magnitude: \(13.9\) lbf
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