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
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
Problem 1.1MA
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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?

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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Step 1: Given data
VIEWStep 2: Resolve F1 force along x, y and z axis
VIEWStep 3: Resolve F2 force along x, y and z axis
VIEWStep 4: Calculation of resultant force & the coordinate direction angle alpha of the resultant force.
VIEWStep 5: Calculation of the coordinate direction angles bita and gyama of the resultant force.
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