Proving the Three-Component Formula for Fluid Mechanics Forces

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SUMMARY

The discussion centers on proving the three-component formula for fluid mechanics forces, specifically denoting the force as F, which comprises three components: F1, F2, and F3. Participants suggest starting the proof by expanding the left-hand side of the equation. The process is acknowledged as tedious but ultimately leads to the desired conclusion.

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  • Understanding of fluid mechanics principles
  • Familiarity with vector decomposition
  • Basic knowledge of mathematical proofs
  • Experience with force equations in physics
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  • Study the derivation of vector components in fluid mechanics
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  • Learn about the applications of the three-component force formula
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Students and professionals in physics, particularly those specializing in fluid mechanics, as well as educators seeking to enhance their understanding of force decomposition in fluid systems.

dopey9
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Can someone help me with this proof
 

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Well, Cartese away first, and we'll help you if you stumble! :smile:
 
I would recommend starting by supposing F is made up by three components, F_1 , F_2 ,F_3 then just expand out the left hand side!

It is tidous but you will see it will fall out

 

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