In the following free body diagram, force F is acting at an angle t from the horizontal, and the force of 800 N is acting at an angle of 50 degrees to the vertical as shown. Find the magnitude of force F and the angle t it makes with the horizontal, if the resultnat force is directed toward the x direction with the magnitude of 1000 N. Show A your work. 50 degree 800 N

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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In the following free body diagram, force \( F \) is acting at an angle \( t \) from the horizontal, and the force of 800 N is acting at an angle of 50 degrees to the vertical as shown. Find the magnitude of force \( F \) and the angle \( t \) it makes with the horizontal, if the resultant force is directed toward the \( x \) direction with the magnitude of 1000 N. Show your work.

**Diagram Explanation:**

- The diagram shows two forces:
  - Force \( B \) of 800 N is directed at an angle of 50 degrees from the vertical.
  - Force \( F \) is directed at an unknown angle \( t \) from the horizontal.
- The resultant force is directed along the x-axis with a magnitude of 1000 N.
- A vertical line and a horizontal line serve as references for angles.
Transcribed Image Text:In the following free body diagram, force \( F \) is acting at an angle \( t \) from the horizontal, and the force of 800 N is acting at an angle of 50 degrees to the vertical as shown. Find the magnitude of force \( F \) and the angle \( t \) it makes with the horizontal, if the resultant force is directed toward the \( x \) direction with the magnitude of 1000 N. Show your work. **Diagram Explanation:** - The diagram shows two forces: - Force \( B \) of 800 N is directed at an angle of 50 degrees from the vertical. - Force \( F \) is directed at an unknown angle \( t \) from the horizontal. - The resultant force is directed along the x-axis with a magnitude of 1000 N. - A vertical line and a horizontal line serve as references for angles.
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