Lines of action of forces and net torque

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Discussion Overview

The discussion revolves around the concept of net torque in relation to forces acting on a body, specifically when the lines of action of multiple forces pass through a common point. The scope includes conceptual clarification and technical explanation of torque in physics.

Discussion Character

  • Conceptual clarification
  • Technical explanation

Main Points Raised

  • One participant questions why the net torque about a point is zero when three forces of different magnitudes and directions pass through a common point.
  • Another participant suggests that the resultant vector can be found by adding up the x and y components of the forces, though this does not directly address the torque question.
  • A participant clarifies that if forces are applied at a common point, the torque about that point is zero due to the distance being zero, as torque is calculated as force times distance.
  • Another participant reinforces this by stating that each force produces zero torque at that point because the distance (r) is zero, leading to a net torque of zero.

Areas of Agreement / Disagreement

Participants generally agree that when the lines of action of forces pass through a common point, the net torque about that point is zero due to the distance being zero. However, there is some confusion regarding the initial question and the application of forces.

Contextual Notes

Some participants express uncertainty about the initial question and the relationship between forces and torque, indicating a need for clearer definitions and understanding of the concepts involved.

makeAwish
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I have a question.

For example there are three forces of diff magnitudes and are in three diff directions (not oppo directions) acting on a body. if the lines of action of the 3 forces pass through a common point, why the net torque abt that pt is zero?

Can someone help me pls?
Thanks!
 
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k I am not sure what u asking but , u could add up all the x and y components
of the vectors and get the resultant vector.
 
Erm. What i want to ask is just this:

Why when the lines of action of 3 forces pass through a common point, the net torque abt that common point is zero?
 
I think I understand your question. Suppose we have we have a rod x units long, centered at x = 0. Suppose there is a force +F at +x/2 and a force -F at -x/2. There is no net force on the rod, but there is a torque about the point x=0. However, if the two opposing forces were both applied at x=0, then there is no torque about the point x=0. Even if the two opposing forces were applied at x=0 but not equal, there still is no torque about the point x=0. Is this your question?.
 
Hi makeAwish! :smile:
makeAwish said:
if the lines of action of the 3 forces pass through a common point, why the net torque abt that pt is zero?

It even works for just one force …

the net torque must be zero about any point if the force goes through that point …

torque (or moment) = force x distance, and distance = 0. :smile:

(btw, this is why we always take moments about hinges etc, because we want to simplify the problem by leaving out the force at that point :wink:)
 
oh ya... each force produces zero torque cos r is 0, so the sum of it at that point is still zero..

haha. thanks a lot! :)
 

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