Why does a moment have more than one part?

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In summary, the question focuses on the moment of a force and whether it has two components. The asker wonders if these components make up the net moment and if each force always has two moments in opposite directions. The solution involves decomposing the 80 N force into two vectors and adding the moments of both vectors for easier calculations. It is confirmed that this is the correct way to approach the problem.
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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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  • #2
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?
 
  • #3
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
 
  • #4
The 80 N force is decomposed into two vectors and moments of both vectors are added, it makes calculations easier.
 
  • #5
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.
 

FAQ: Why does a moment have more than one part?

1. Why is a moment described as having two parts?

A moment is described as having two parts because it is a concept used to measure the turning effect of a force on an object. In order to fully describe this turning effect, both the magnitude (size) and direction of the force must be taken into account. These two components make up the two parts of a moment.

2. What are the two parts of a moment?

The two parts of a moment are the magnitude and the direction of the force. The magnitude is the size or strength of the force, while the direction is the way in which the force is applied. In order to fully describe a moment, both of these components must be considered.

3. Is it possible for a moment to have more than two parts?

No, a moment can only have two parts - magnitude and direction. These two components are necessary to fully describe the turning effect of a force on an object. However, a moment can be broken down into smaller parts for more precise measurements, such as breaking down the direction into its horizontal and vertical components.

4. How do the two parts of a moment affect its overall value?

The two parts of a moment, magnitude and direction, both play a crucial role in determining the overall value of a moment. The larger the magnitude of the force, the greater the turning effect will be. Similarly, the direction of the force will also affect the overall value of the moment, as it determines the direction in which the object will rotate.

5. Why is it important to understand the two parts of a moment?

Understanding the two parts of a moment is important because it helps us to accurately measure and describe the turning effect of a force on an object. By considering both the magnitude and direction of the force, we can better understand the impact it has on an object and make informed decisions when designing structures or analyzing the effects of forces in various scenarios.

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