The weight of the plate is 300-N.. The tension in cable AB is 350-N, and tension in cable CD is 550-N. a- Replace forces acting on the plate with a force-couple at point O. b-Show that if tension in cables was 360-N each, the two forces acting on the plate at B and C form a couple. Express this couple in vector form and find its magnitude.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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**Question 3:**

The weight of the plate is 300 N. The tension in cable AB is 350 N, and the tension in cable CD is 550 N.

a. Replace forces acting on the plate with a **force-couple** at point O.

b. Show that if tension in cables was 360 N each, the two forces acting on the plate at B and C form a couple. Express this couple in vector form and find its magnitude.

---

**Diagram Explanation:**

The diagram shows a rectangular plate with a coordinate system labeled at key points:

- **A:** The cable position above point O
- **B:** Located at coordinates (0, 3, 0) m
- **C:** Located at coordinates (4, 4, 0) m
- **D:** Located at coordinates (8, 3, 4) m

There are lines depicting the direction of the cables AB and CD acting on the plate, forming a system to consider for force-couple and couple analysis.
Transcribed Image Text:**Question 3:** The weight of the plate is 300 N. The tension in cable AB is 350 N, and the tension in cable CD is 550 N. a. Replace forces acting on the plate with a **force-couple** at point O. b. Show that if tension in cables was 360 N each, the two forces acting on the plate at B and C form a couple. Express this couple in vector form and find its magnitude. --- **Diagram Explanation:** The diagram shows a rectangular plate with a coordinate system labeled at key points: - **A:** The cable position above point O - **B:** Located at coordinates (0, 3, 0) m - **C:** Located at coordinates (4, 4, 0) m - **D:** Located at coordinates (8, 3, 4) m There are lines depicting the direction of the cables AB and CD acting on the plate, forming a system to consider for force-couple and couple analysis.
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