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Question 3: What is the shown couple moment in Cartesian vector form? 400 lb A 6 ft 2 ft 2 ft 400 lb (b) {-480j-640k}lb-ft (a) {960i – 960j–1280k}lb-ft (d) {480i – 480j-640k }lb -ft (c){-960j–1280k }lb - ft

Question 3: What is the shown couple moment in Cartesian vector form? 400 lb A 6 ft 2 ft 2 ft 400 lb (b) {-480j-640k}lb-ft (a) {960i – 960j–1280k}lb-ft (d) {480i – 480j-640k }lb -ft (c){-960j–1280k }lb - ft

Elements Of Electromagnetics
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 3:** What is the shown couple moment in Cartesian vector form? The diagram displays a three-dimensional coordinate system with a rod affixed at point \( A \). Two forces, each weighing 400 lb, act on the rod. - The force on the right is applied vertically downward. - A diagonal force is applied to the left at the top end of the rod. This force forms a right triangle with sides labeled as 3 (horizontal component) and 4 (vertical component), indicating a \(5\) unit hypotenuse \( (3-4-5\) triangle). The rod, of total length 10 ft, extends as follows: - From point \( A \), it extends 6 ft along the x-axis. - It then extends an additional 2 ft to the point where the vertical force is applied (end marked with an arrow pointing downward). - The remainder, 2 ft of the rod, continues upward to the left where the diagonal force is applied. The options for the couple moment in Cartesian vector form are: (a) \( \{960i - 960j - 1280k\} \, \text{lb} \cdot \text{ft} \) (b) \( \{-480j - 640k\} \, \text{lb} \cdot \text{ft} \) (c) \( \{-960i - 1280k\} \, \text{lb} \cdot \text{ft} \) (d) \( \{480i - 480j - 640k\} \, \text{lb} \cdot \text{ft} \)
Transcribed Image Text:**Question 3:** What is the shown couple moment in Cartesian vector form? The diagram displays a three-dimensional coordinate system with a rod affixed at point \( A \). Two forces, each weighing 400 lb, act on the rod. - The force on the right is applied vertically downward. - A diagonal force is applied to the left at the top end of the rod. This force forms a right triangle with sides labeled as 3 (horizontal component) and 4 (vertical component), indicating a \(5\) unit hypotenuse \( (3-4-5\) triangle). The rod, of total length 10 ft, extends as follows: - From point \( A \), it extends 6 ft along the x-axis. - It then extends an additional 2 ft to the point where the vertical force is applied (end marked with an arrow pointing downward). - The remainder, 2 ft of the rod, continues upward to the left where the diagonal force is applied. The options for the couple moment in Cartesian vector form are: (a) \( \{960i - 960j - 1280k\} \, \text{lb} \cdot \text{ft} \) (b) \( \{-480j - 640k\} \, \text{lb} \cdot \text{ft} \) (c) \( \{-960i - 1280k\} \, \text{lb} \cdot \text{ft} \) (d) \( \{480i - 480j - 640k\} \, \text{lb} \cdot \text{ft} \)
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