Vector addition with 4 force vectors

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SUMMARY

The discussion focuses on calculating the resultant vector from four force vectors using vector addition techniques. A user expresses uncertainty about the head-to-tail method for vector addition and seeks guidance. The solution provided emphasizes breaking down each vector into its x and y components, summing the x components, and then summing the y components to find two perpendicular force vectors. The final step involves calculating the resultant vector from these two components, with a caution to pay attention to the signs of the components.

PREREQUISITES
  • Understanding of vector components in two dimensions
  • Familiarity with the head-to-tail method of vector addition
  • Basic knowledge of trigonometry for resolving vectors
  • Ability to perform arithmetic operations with signed numbers
NEXT STEPS
  • Learn how to resolve vectors into x and y components
  • Study the head-to-tail method of vector addition in detail
  • Explore the Pythagorean theorem for calculating resultant vectors
  • Practice problems involving multiple force vectors and their resultant
USEFUL FOR

Students studying physics, particularly those learning about vector addition and force analysis, as well as educators looking for effective teaching methods in vector mechanics.

Elysian
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Homework Statement


[PLAIN]http://img849.imageshack.us/img849/1466/vectorimage.png


Homework Equations





The Attempt at a Solution



I'm not sure at all how to do this to get the resultant vector, other than using the head-to-tail method by scaled vectors, which I really don't want to do and work out because it seems like it'd be too time consuming if I was to encounter a problem like this on a test..

I'm not too sure about this at all, so if anyone can give me a hint or something on how to start, it'd be appreciated. Thanks
 
Last edited by a moderator:
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If you break up each vector into its x and y components, then add the x components, and then separately add the y components, you end up with 2 force vectors at right angles to each other, one in the x direction and the other in the y direction. Now find the resultant of those 2 vectors. Please watch plus and minus signs.
 

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