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
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**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.
Transcribed Image Text:**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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