Classification of Three-Dimensional Forces/Vectors

In summary: That clears up some of my confusion. But still, I don't know what to do next.There is no one definitive answer to this question, as it depends on the context in which it is being used. In general, though, a polar vector is one that has a starting point or point of application in a particular dimension, while an axial vector is one that has a rotation around a central point.
  • #1
ynos
6
0
Hi, I am an Engineering Student and my professor is insisting that we read about the different types and classifications of three-dimensional forces. I have been scouring the world wide web for more than 3 days now, even checked physics books but I can't find even one type or classification of 3-dimensional force/vector.

Can anyone please point me to the right direction?

TIA!
 
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  • #2
The only classification that exists is the four fundamental forces: Gravity, Electromagnetism and the Strong/Weak interaction. In engineering you'll only ever encounter two of these, and even then you really just look at things in a classical view where forces are just kind of simplified abstractions.

The high school definition "a force is a push or a pull" will do fine for your needs I imagine. A more technical definition is a force is the gradient of any scalar potential field.
 
  • #3
Thanks Dipole for the reply.

I am just confused, is three-dimensional forces the same with three-dimensional vectors?Because, if I understand it correctly, force is a vector quantity.

Based on what you said, there are only four fundamental classification of forces, how about classifications and types of three-dimensional vectors?

Thanks again in advance!
 
  • #4
Vectors can be polar and axial. You can find details on the web.
 
  • #5
@voko, I did a quick search on polar and axial vectors and I can't find the relationship of these two with the three-dimensional forces/vectors. It would be greatly appreciated if you could please expound on this.

@dipole, I also did some search regarding the classifications that you mentioned, and it turns out that those four are the only forces in nature, so they can be 1-dimensional, 2-dimensional, 3 or more dimensional forces.

I am still in the dark with the types and classifications of three-dimensional forces/vectors if they even exists.

TIA!
 
  • #6
Searching Category:Force on wikipedia will yield an extensive list.

Like dipole said the only canonical classification of forces is the four fundamental interactions.

Common engineering terminology includes: compression and tension forces in statics; centripetal, centrifugal, and Coriolis forces in dynamics; pressure, viscous, and capillary forces in fluid mechanics; and shear and normal forces in continuum mechanics.
 
  • #7
Well I am not sure what your professor meant, perhaps you could tell us more about which class this was in?

Meanwhile you might like to look up direct, inertial, body, normal, tangential, tensile, compressive, shear and impulsive forces.
 
  • #8
Actually, I am lost myself. We were only told to research on vectors and three-dimensional forces/vectors and site examples of each type and/or classifications. If I am not mistaken our physics class as of now is more on classical mechanics as we've been touching force (resultant forces), acceleration, Newton's second law of motion, motion and changing velocity, circular motions, coplanar forces, etc.

I even found the suggested reference book - College Physics (2007) by Giambattista et al and still can't find any mention of the types and/or classification of three-dimensional forces/vectors.

It seems like I hit a wall here as I have no idea what to read or research that's why I seek the advise of the experienced and knowledgeable minds of this forum.

TIA!
 
Last edited:
  • #9
Classification schemes, by themselves are not important.

But have you looked up the terms that have been provided and do you now understand them?
 
  • #10
ynos said:
@voko, I did a quick search on polar and axial vectors and I can't find the relationship of these two with the three-dimensional forces/vectors. It would be greatly appreciated if you could please expound on this.

The relationship is most direct: any 3D vector is either polar or axial. Any 3D force is a polar vector.
 
  • #11
Studiot said:
Classification schemes, by themselves are not important.

But have you looked up the terms that have been provided and do you now understand them?

That's the reason why I am at lost right now. There are no terms provided, except for the following: a) vectors and 3-dimensional forces, b) types and classifications of three-dimensional forces/vectors and site examples of each.

It seems to me now that there are no types or classification of three-dimensional forces/vectors.
 
  • #12
voko said:
The relationship is most direct: any 3D vector is either polar or axial. Any 3D force is a polar vector.

what I meant to say is relationship of polar and axial with the types and/or classification of three-dimensional forces.

As per a quick search and as per my understanding, polar vectors are those which have a starting point or point of application like displacement, so it doesn't necessarily mean that it is three dimensional, it can also be 2 dimensional, while axial vectors are those that have rotation or something of similar effect.

Thanks.
 

What is the difference between a three-dimensional force and a three-dimensional vector?

A three-dimensional force is a physical quantity that has magnitude and direction and can act on an object in three-dimensional space. A three-dimensional vector, on the other hand, is a mathematical representation of a force, which includes a magnitude and direction but also includes a starting point and an endpoint.

How do you classify three-dimensional forces/vectors?

Three-dimensional forces/vectors can be classified based on their magnitude, direction, and point of application. They can also be classified as either concurrent or non-concurrent, depending on whether their lines of action intersect or not.

What are some examples of three-dimensional forces/vectors?

Some examples of three-dimensional forces/vectors include tension, gravity, friction, and normal force. These forces can act on objects in different directions in three-dimensional space.

What is the importance of understanding three-dimensional forces/vectors in science?

Understanding three-dimensional forces/vectors is crucial in predicting and analyzing the motion of objects in three-dimensional space. These forces play a significant role in various scientific fields, such as mechanics, physics, and engineering.

How can three-dimensional forces/vectors be represented graphically?

Three-dimensional forces/vectors can be represented graphically using vector diagrams. These diagrams use arrows to represent the magnitude and direction of the force, and the starting point and endpoint to represent the point of application.

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