Figure F₂ = 125 N X 3 20% 45° 60° 60° F₁ = 400 N 1 of 1 > ▼ Part B Determine the coordinate direction angle a of the resultant force. Express your answer using three significant figures. a= 28.9 ° Submit Previous Answers ✓ Correct Part C Determine the coordinate direction angle of the resultant force. Express your answer using three significant figures. B = 67.3 ° Submit ✓ Correct Part D Previous Answers Determine the coordinate direction angle y of the resultant force. Express your answer using three significant figures. 15. ΑΣΦ Y = vec ? 0

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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I can't seem to figure out how to do get the last angle can you help me with this please?

 

## Educational Website Content

### Analysis of Forces with Coordinate Direction Angles

#### Figure Explanation

The figure showcases a 3D coordinate system marked with \(x\), \(y\), and \(z\)-axes. Two force vectors are present:

1. **Force \(F_1\) = 400 N**: 
   - Positioned at a 60° angle from the \(y\)-axis in the \(yz\)-plane.

2. **Force \(F_2\) = 125 N**: 
   - Shown at a 20° angle from the \(x\)-axis in the \(xz\)-plane.
   - A right triangle ratio of 3:4 is highlighted in the \(yz\)-plane.

#### Problem Solving

The problem involves determining the coordinate direction angles of the resultant force:

- **Part B**: Determine angle \(\alpha\)
  - **Solution**: \(\alpha = 28.9^\circ\)
  - The answer is correct and presented with three significant figures.

- **Part C**: Determine angle \(\beta\)
  - **Solution**: \(\beta = 67.3^\circ\)
  - The answer is acknowledged as correct and expressed with three significant figures.

- **Part D**: Calculate angle \(\gamma\)
  - Students are prompted to provide an answer with three significant figures.

The educational content covers the calculation of angles using the direction cosines and helps learners understand the orientation of forces in three-dimensional space.
Transcribed Image Text:## Educational Website Content ### Analysis of Forces with Coordinate Direction Angles #### Figure Explanation The figure showcases a 3D coordinate system marked with \(x\), \(y\), and \(z\)-axes. Two force vectors are present: 1. **Force \(F_1\) = 400 N**: - Positioned at a 60° angle from the \(y\)-axis in the \(yz\)-plane. 2. **Force \(F_2\) = 125 N**: - Shown at a 20° angle from the \(x\)-axis in the \(xz\)-plane. - A right triangle ratio of 3:4 is highlighted in the \(yz\)-plane. #### Problem Solving The problem involves determining the coordinate direction angles of the resultant force: - **Part B**: Determine angle \(\alpha\) - **Solution**: \(\alpha = 28.9^\circ\) - The answer is correct and presented with three significant figures. - **Part C**: Determine angle \(\beta\) - **Solution**: \(\beta = 67.3^\circ\) - The answer is acknowledged as correct and expressed with three significant figures. - **Part D**: Calculate angle \(\gamma\) - Students are prompted to provide an answer with three significant figures. The educational content covers the calculation of angles using the direction cosines and helps learners understand the orientation of forces in three-dimensional space.
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