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
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Question

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.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images

Recommended textbooks for you

Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press

Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON

Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education

Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press

Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON

Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education

Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY

Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning

Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY