Why does a moment have more than one part?

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SUMMARY

The discussion centers on the concept of moments in mechanics, specifically addressing why a single force can generate two components of moment. The participants clarify that these components, derived from the decomposition of the force, contribute to the net moment. The example provided involves an 80 N force decomposed into two vectors, with their respective moments calculated and summed to determine the overall moment. This understanding is critical for accurate moment calculations in mechanical engineering.

PREREQUISITES
  • Understanding of basic mechanics principles, specifically moments and forces.
  • Familiarity with vector decomposition in physics.
  • Knowledge of trigonometric functions as applied to force components.
  • Ability to interpret and apply equations from mechanics textbooks.
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  • Study the principles of vector decomposition in mechanics.
  • Learn about calculating moments using the cross product in physics.
  • Explore the application of trigonometric identities in resolving forces.
  • Review examples of net moment calculations in engineering scenarios.
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This discussion is beneficial for mechanical engineering students, educators teaching mechanics, and professionals involved in structural analysis and design who require a solid understanding of moments and forces.

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Homework Statement



Question 1-4 from here http://www.eng.auburn.edu/~htippur/mech3130/hw-1-solutions-2012.pdf

My question is why exactly does the moment have 2 parts from 1 force? Are those simply the components which together make up the net moment? Does each force always have 2 moments in opposite directions?

Homework Equations



The Attempt at a Solution



I think that the sum of the two moments makes the net moment.
 
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1question said:

Homework Statement



Question 1-4 from here http://www.eng.auburn.edu/~htippur/mech3130/hw-1-solutions-2012.pdf

My question is why exactly does the moment have 2 parts from 1 force? Are those simply the components which together make up the net moment? Does each force always have 2 moments in opposite directions?

Homework Equations






The Attempt at a Solution



I think that the sum of the two moments makes the net moment.

It's not clear what you mean when you say a moment has 2 parts. Could you specifically point out these parts?
 
SteamKing said:
It's not clear what you mean when you say a moment has 2 parts. Could you specifically point out these parts?

I guess I mean the components of the moment, aka -80sin45(0.1+0.3sin30) AND 80cos45(0.3cos30).

I just want to make sure that thinking of them as components of the moment, and that their sum is the net moment, is correct.
Thanks
 
The 80 N force is decomposed into two vectors and moments of both vectors are added, it makes calculations easier.
 
szynkasz said:
The 80 N force is decomposed into two vectors and moments of both vectors are added, it makes calculations easier.

That is more or less what I figured, but I wanted to make sure. Thank you.
 

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