Find the resultant force for the forces shown by (a) using the parallelogram law and (b) by resolving the forcees into their x and y components.

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
Question

Find the resultant force for the forces shown by (a) using the parallelogram law and (b) by resolving the forcees into their x and y components. 

The image displays a vector diagram on a coordinate plane. It includes two force vectors, \( F_1 \) and \( F_2 \), originating from a common point.

- The horizontal axis is labeled \( x \) and the vertical axis is labeled \( y \).

### Vector Details:

1. **Vector \( F_1 \):**
   - Magnitude: 15 kN
   - Direction: Positioned at an angle of \( 135^\circ \) from the negative \( x \)-axis, pointing upwards to the left quadrant.

2. **Vector \( F_2 \):**
   - Magnitude: 30 kN
   - Direction: Positioned at an angle of \( 45^\circ \) from the positive \( x \)-axis, pointing upwards to the right quadrant.

These vectors may represent forces applied at an angle. The precise configuration can be used to analyze problems involving vector addition, equilibrium, or net force calculations in mechanics.
Transcribed Image Text:The image displays a vector diagram on a coordinate plane. It includes two force vectors, \( F_1 \) and \( F_2 \), originating from a common point. - The horizontal axis is labeled \( x \) and the vertical axis is labeled \( y \). ### Vector Details: 1. **Vector \( F_1 \):** - Magnitude: 15 kN - Direction: Positioned at an angle of \( 135^\circ \) from the negative \( x \)-axis, pointing upwards to the left quadrant. 2. **Vector \( F_2 \):** - Magnitude: 30 kN - Direction: Positioned at an angle of \( 45^\circ \) from the positive \( x \)-axis, pointing upwards to the right quadrant. These vectors may represent forces applied at an angle. The precise configuration can be used to analyze problems involving vector addition, equilibrium, or net force calculations in mechanics.
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