Finding the Resultant Force to Using Vector Components and Trigonometry

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Homework Help Overview

The discussion revolves around finding the resultant force using vector components and trigonometry. Participants are exploring how to properly combine vectors, particularly in contexts where they may have different directions.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster inquires about the appropriate method for finding the resultant force, questioning whether to add vectors directly or resolve them into components. Some participants suggest resolving vectors into x and y components before combining them, while others emphasize the importance of considering vector directions.

Discussion Status

Participants are actively discussing various methods for calculating the resultant force, with some providing guidance on resolving vectors into components. There is a recognition of the need to account for directionality in vector addition, and multiple interpretations of the problem are being explored.

Contextual Notes

There is an indication that the original poster has been seeking information from their textbook, suggesting potential gaps in understanding or resources. The discussion reflects a learning environment where participants are clarifying concepts related to vector addition.

navarro714
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What type of equation would I use to find the resultant force?

Do I just add the vectors together? Or change them to X and Y variable?
 
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You could resolve each vector into x and y components, add the components and "unresolve" the 2 components back into a vector.
 
You can't just algebraically add them, since in general they have different directions. Split each vector into its x and y components, then add the x components together to get Rx, and add the y components together to get Ry, and use pythagorus to get the magnitude of the resultant force (R = sq. rt. of (Rx^2 + Ry^2)), and use trig to get the direction of the resultant force (Ry/Rx=tan theta.)
 
If they are collinear you can just add them, as long as you take sign into account. Otherwise, it is best to resolve them into x,y,and z components.
 
PhanthomJay said:
You can't just algebraically add them, since in general they have different directions. Split each vector into its x and y components, then add the x components together to get Rx, and add the y components together to get Ry, and use pythagorus to get the magnitude of the resultant force (R = sq. rt. of (Rx^2 + Ry^2)), and use trig to get the direction of the resultant force (Ry/Rx=tan theta.)

Thank you! I've been looking through my textbook for an hour! I remeber my teacher telling me about that.
 

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