Parallelogram method to calculate the resultant force

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Discussion Overview

The discussion revolves around the parallelogram method for calculating the resultant force of two forces, including inquiries about the underlying formula and methods for determining the resultant vector's magnitude.

Discussion Character

  • Technical explanation, Homework-related

Main Points Raised

  • One participant recalls using the parallelogram method in school and seeks a formula for calculating the resultant force.
  • Another participant suggests a two-step process involving adding vector components to find the resultant vector and then using the Pythagorean theorem to determine its magnitude.
  • A third participant provides a specific formula for the magnitude of the resultant force, expressed as R = sqrt(a^2 + b^2 + 2abcosx, where a and b are the magnitudes of the forces and x is the angle between them.
  • A later reply expresses gratitude for the information, indicating it was the sought-after answer.

Areas of Agreement / Disagreement

Participants appear to agree on the use of the parallelogram method and the formula provided, but there is no explicit consensus on the preferred approach or any alternative methods.

Contextual Notes

The discussion does not address potential limitations of the parallelogram method or the assumptions underlying the formula provided.

Who May Find This Useful

Students learning about vector addition and resultant forces, educators teaching physics concepts related to forces, and individuals interested in practical applications of vector mathematics.

Jadaav
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In school, we've been using the parallelogram method to calculate the resultant force of 2 forces.

I've noticed the teacher using his calculator to give the answer, so I think there must be a formula to calculate Resultant force.

Can someone tell me the formula please ?
 
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Step 1 add the two vectors (i.e. get the resultant vector components by adding the components of each vector). Step 2 get the magnitude using Pythagorean theorem.
 
magnitude of resultant force of two forces of magnitude a and b at angle x is given by
R = sqrt(a^2 + b^2 + 2abcosx)
 
Thanks everyone.

That was what I was searching for.
 

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