Find Center of Forces and Calculate Force Applied

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Discussion Overview

The discussion revolves around the concept of finding the center of forces in a system defined by 3D vectors representing forces and their application points. Participants explore the implications of this concept, particularly in relation to moments and the conditions under which a center of forces can be defined.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant questions the utility of the center of forces concept, suggesting that it may not be applicable when the sum of forces is zero, as this could lead to non-zero moments that do not correspond to a defined center.
  • Another participant proposes a formula for calculating the center of mass, indicating a distinction between scalar and vector quantities, and expresses a need for clarification on the center of forces.
  • A participant shares a link to a personal page that outlines their understanding of how to find the center of forces, indicating a desire for feedback on their approach.
  • There is an expression of frustration regarding the difficulty of the problem, with one participant likening their situation to being "stacked" or overwhelmed.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the utility or definition of the center of forces, with multiple competing views and uncertainties remaining in the discussion.

Contextual Notes

The discussion includes assumptions about the definitions of forces and moments, and the implications of zero net force on the existence of a center of forces. There are unresolved mathematical steps regarding the calculation of the center of forces.

Who May Find This Useful

Individuals interested in the mechanics of forces, particularly in physics or engineering contexts, may find this discussion relevant.

dedaNoe
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How do I find the center of forces?
For instance if given as 3d vectors:
F1, F2 (any forces) and R1, R2 (any positions where they act)
----------------------------------------
Where will be the center (R=?) and how much force it'll cary (F=?)?

I'm stacked on this one!
Stack overflow sort of stacked!
 
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The concept of the center of forces (C.F). is not particularly useful.
In general, C.F. is defined as the point such that the moment of the sum of forces (acting at C.F) about some other point is equal to the sum of the individual moments of forces (acting from their individual points), computed with respect to the other point.

However, if the sum of forces is zero, the sum of individual moments may well be non-zero, and hence, no point can act as C.F.
 
I think that's how it works for masses. It'll then come down to:
R:=Sum(M_i * R_i) / Sum(M_i)
italic is vector; regular is scalar;
The difference is that mass is scalar while force is vector.
I still need C.F.
 
What do you think?
 

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