**Problem Statement:**Three forces act on a particle P:1. **Force A** has a magnitude of 55 lbs and acts 30 degrees counterclockwise (CCW) from the x-axis.2. **Force B** has a magnitude of 70 lbs and acts along a ray from point P with a slope of \(-1/4\).3. **Force C** has a magnitude of 55 lbs and acts straight left.Combine these three vectors to determine:1. The magnitude of the resultant force \( \mathbf{R} \).2. The angle \( \theta \) it makes with the positive x-axis.

Given: three forces act on a particle P. Force A has a magnitude of 55lbs and acts 30 degrees CCW from the x-axis. Force B has a magnitude of 70 lbs and acts along a ray from point P with a slope at 1/-4. Force C has a magnitude of 55 lbs lbs and acts straight left. Add the three vectors to find the magnitude of the resultant force R and the angle makes with the positive a-axis 0.

Given: three forces act on a particle P. Force A has a magnitude of 55lbs and acts 30 degrees CCW from the x-axis. Force B has a magnitude of 70 lbs and acts along a ray from point P with a slope at 1/-4. Force C has a magnitude of 55 lbs lbs and acts straight left. Add the three vectors to find the magnitude of the resultant force R and the angle makes with the positive a-axis 0.

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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Concept explainers

Basic Terminology in Mechanics

The area of science and mathematics concerned the motion of the objects, the relation between the force matter, and motion if specified. Forces exerted over the objects result in displacements or changes in the position of an object concerning its environment. This branch of physics keeps its roots in Ancient Greece in the form of the scripts of Aristotle and Archimedes.

Question

**Problem Statement:**

Three forces act on a particle P:

1. **Force A** has a magnitude of 55 lbs and acts 30 degrees counterclockwise (CCW) from the x-axis.
2. **Force B** has a magnitude of 70 lbs and acts along a ray from point P with a slope of \(-1/4\).
3. **Force C** has a magnitude of 55 lbs and acts straight left.

Combine these three vectors to determine:

1. The magnitude of the resultant force \( \mathbf{R} \).
2. The angle \( \theta \) it makes with the positive x-axis.

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