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
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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 \(\boxed{\phantom{0}}\).
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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