Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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![# Diagram Explanation
The diagram illustrates four forces, labeled A, B, C, and D, represented as vectors originating from a common point. The angles between the vectors are marked to illustrate their directions in the plane:
- **Force A** (Red): Directed at an angle of 50° from the positive x-axis.
- **Force B** (Blue): Directed at an angle of 75° from the negative y-axis.
- **Force C** (Green): Directed at an angle of 55° from the negative x-axis.
- **Force D** (Black): The direction of force D is indicated but its exact angle and magnitude are to be determined.
# Solution
Determine the magnitude and direction of force **D** required for equilibrium if the forces act in the directions shown and have magnitudes:
- \( A = 20 \, \text{lbs} \)
- \( B = 20 \, \text{lbs} \)
- \( C = 60 \, \text{lbs} \)
\[ D = \boxed{\phantom{0}} \]
acting at an angle of \(\boxed{\phantom{0}}\) measured \(\boxed{\phantom{0}}\) from the \(\boxed{\phantom{0}}\).](https://content.bartleby.com/qna-images/question/799db758-6264-477e-875f-1cfecc426da7/b62d5274-7364-4dc2-b55c-9f0923ac46ac/4u6v4g_processed.png)
Transcribed Image Text:# Diagram Explanation
The diagram illustrates four forces, labeled A, B, C, and D, represented as vectors originating from a common point. The angles between the vectors are marked to illustrate their directions in the plane:
- **Force A** (Red): Directed at an angle of 50° from the positive x-axis.
- **Force B** (Blue): Directed at an angle of 75° from the negative y-axis.
- **Force C** (Green): Directed at an angle of 55° from the negative x-axis.
- **Force D** (Black): The direction of force D is indicated but its exact angle and magnitude are to be determined.
# Solution
Determine the magnitude and direction of force **D** required for equilibrium if the forces act in the directions shown and have magnitudes:
- \( A = 20 \, \text{lbs} \)
- \( B = 20 \, \text{lbs} \)
- \( C = 60 \, \text{lbs} \)
\[ D = \boxed{\phantom{0}} \]
acting at an angle of \(\boxed{\phantom{0}}\) measured \(\boxed{\phantom{0}}\) from the \(\boxed{\phantom{0}}\).
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