Finding the Magnitude and Direction of a Force Vector Using Trigonometry

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Homework Help Overview

The discussion revolves around finding the magnitude and direction of a force vector, specifically focusing on the addition of vectors in a physics context. The problem involves two force vectors, one known and one unknown, with a resultant vector provided.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the addition of vectors and the need to project them onto coordinate axes. Questions are raised about the choice of equations and the implications of the resultant vector's direction.

Discussion Status

The discussion includes various approaches to understanding vector addition and subtraction. Some participants provide guidance on how to manipulate the equations involved, while others express uncertainty about the methods to use. There is no explicit consensus on the approach, but multiple interpretations are being explored.

Contextual Notes

Participants note the importance of understanding vector addition and the implications of the resultant vector's direction, which is not fully specified in the problem. There is an emphasis on ensuring that the correct method is applied to arrive at the solution.

shawonna23
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A force vector F1 points due east and has a magnitude of 200N. A second force F2 is added to F1. The resultant of the two vectors has a magnitude of 400N and points along the east/west line. Find the magnitude and direction of F2.

i really don't know what equation I would use to solve this problem.
 
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Write the addition of vectors and then chose 2 axes of coordinates and project it...

Daniel.
 
What are your choices for equations?

A vector pointing due East lies on the East/West line. This winds up being the same as doing arithmetic on a number line. You only have two choices for directions (East or West). Each direction would give you a different magnitude. (Double check to see if they specified which direction the resultant was pointing).
 
shawonna23 said:
A force vector F1 points due east and has a magnitude of 200N. A second force F2 is added to F1. The resultant of the two vectors has a magnitude of 400N and points along the east/west line. Find the magnitude and direction of F2.

They're telling you that

[tex]\bold {F}_1 + \bold {F}_2 = \bold {R}[/tex]

They're giving you the values of [tex]\bold {F}_1[/tex] and [tex]\bold {R}[/tex].

So in order to find [tex]\bold {F}_2[/tex] you need to do this:

[tex]\bold {F}_2 = \bold {R} - \bold {F}_1[/tex].

Now, if you've learned how to add two vectors by now, how would you modify the procedure so as to subtract them instead of add them? :rolleyes:

If you haven't learned how to add two vectors by now, I suggest you go back and do that before tackling this problem. :wink:
 
Thanks for the help. I think the answers are 200N due east and 600N due west
 
Yes,the answers are correct.We only hope u've gotten them through a correct method...

Daniel.
 

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