D с 55 50° 75° B A 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 lbs, B = 20 lbs, and C = 60 lbs. D=
D с 55 50° 75° B A 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 lbs, B = 20 lbs, and C = 60 lbs. D=
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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Question
![# 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 \(\boxed{\phantom{0}}\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F799db758-6264-477e-875f-1cfecc426da7%2Fb62d5274-7364-4dc2-b55c-9f0923ac46ac%2F4u6v4g_processed.png&w=3840&q=75)
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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I tried the degree both 51 and 50.99 but it is incorrect. Plz help.
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