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Using the Parallelogram Law and Triangle Rule, compute the magnitude of resultant force acting on the anchor. Specify the angle the resultant force makes with the positive x-axis in the counterclockwise direction. 45° 60° 2 kN 6 kN

Using the Parallelogram Law and Triangle Rule, compute the magnitude of resultant force acting on the anchor. Specify the angle the resultant force makes with the positive x-axis in the counterclockwise direction. 45° 60° 2 kN 6 kN

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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**Title: Understanding the Resultant Force Using the Parallelogram and Triangle Rules** **Introduction:** In this lesson, we will explore how to compute the magnitude of a resultant force acting on an anchor using the Parallelogram Law and Triangle Rule. We will also determine the angle that the resultant force makes with the positive x-axis in the counterclockwise direction. **Problem Statement:** Given a diagram, use the Parallelogram Law and Triangle Rule to find: 1. The magnitude of the resultant force. 2. The angle the resultant force makes with the positive x-axis. **Diagram Explanation:** The diagram shows: - An anchor point with two forces acting upon it. - A 6 kN force acting at an angle of 60° from the anchor. - A 2 kN force acting at an angle of 45° from the anchor. - Forces are represented by arrows originating from the anchor point, showing both direction and magnitude. **Approach:** - *Parallelogram Law*: Forces are represented as adjacent sides of a parallelogram. The diagonal represents the resultant force. - *Triangle Rule*: Alternatively, these forces can form a triangle, allowing the use of trigonometric identities to compute the resultant. **Conclusion:** Through this analysis, you will gain the ability to determine both the magnitude of the resultant force and its direction relative to the x-axis. This practical knowledge is valuable in various engineering and physics applications where force vectors are involved.
Transcribed Image Text:**Title: Understanding the Resultant Force Using the Parallelogram and Triangle Rules** **Introduction:** In this lesson, we will explore how to compute the magnitude of a resultant force acting on an anchor using the Parallelogram Law and Triangle Rule. We will also determine the angle that the resultant force makes with the positive x-axis in the counterclockwise direction. **Problem Statement:** Given a diagram, use the Parallelogram Law and Triangle Rule to find: 1. The magnitude of the resultant force. 2. The angle the resultant force makes with the positive x-axis. **Diagram Explanation:** The diagram shows: - An anchor point with two forces acting upon it. - A 6 kN force acting at an angle of 60° from the anchor. - A 2 kN force acting at an angle of 45° from the anchor. - Forces are represented by arrows originating from the anchor point, showing both direction and magnitude. **Approach:** - *Parallelogram Law*: Forces are represented as adjacent sides of a parallelogram. The diagonal represents the resultant force. - *Triangle Rule*: Alternatively, these forces can form a triangle, allowing the use of trigonometric identities to compute the resultant. **Conclusion:** Through this analysis, you will gain the ability to determine both the magnitude of the resultant force and its direction relative to the x-axis. This practical knowledge is valuable in various engineering and physics applications where force vectors are involved.
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