Resultant force after adding a force to a couple moment?

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Discussion Overview

The discussion revolves around the resultant force acting on a stick leaning against a wall, which is subjected to a moment couple. Participants explore the implications of the wall's reaction force and the motion of the stick, questioning the conditions under which the stick remains stationary or moves away from the wall.

Discussion Character

  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant describes a scenario where a stick leaning against a wall experiences a moment couple, suggesting that the resultant force is the wall's reaction force, which would imply the stick should move away from the wall.
  • Another participant questions the assumption that the stick will move away, asking what leads to that conclusion given that the structure appears stationary.
  • A participant asserts that if the stick moves away from the wall, the reaction force would go to zero, indicating a dynamic interaction between the stick and the wall.
  • Another participant emphasizes that the moment couple forces cancel each other, arguing that there is no net resultant linear force associated with the couple itself, and that the wall's reaction force creates a moment equal and opposite to the couple.
  • Contrarily, a participant claims there is indeed a net resultant linear force, equating it to the contact force from the wall, and challenges the idea that the moments must be equal and opposite.

Areas of Agreement / Disagreement

Participants express differing views on the nature of the resultant force and the motion of the stick. There is no consensus on whether the stick will move away from the wall or remain stationary, and the relationship between the moments and forces involved remains contested.

Contextual Notes

The discussion includes assumptions about the stick's motion, the nature of the forces involved, and the conditions under which the wall's reaction force acts. The implications of these assumptions on the overall analysis are not fully resolved.

nomisme
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I don't get it.
24mumo6.png


Imagine there is a stick leaning aganist a wall.
There is a moment couple somewhere on the stick.
The end of the stick hits the wall and the wall acts against it.

The sum of moment is 0 but since the moment couple forces cancel each other, the resultant force is the wall reaction force! which means the stick will move away from the wall!

But in reality i think the whole structure is stationary but not this!
 
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Any difference with this picture ?
upload_2016-10-28_16-52-35.png
 
nomisme said:
the resultant force is the wall reaction force! which means the stick will move away from the wall!
Its center of mass will accelerate.

nomisme said:
But in reality i think the whole structure is stationary
What makes you think this?
 
nomisme said:
...the resultant force is the wall reaction force! which means the stick will move away from the wall!
If the stick moves away from the wall, the reaction force goes to zero. (At the point where the stick contacts the wall, the stick compresses the wall, and the wall compresses the end of the stick.)
 
David Lewis said:
If the stick moves away from the wall, the reaction force goes to zero.
At some time point it will lose contact, but it stays in contact for a while and the contact force accelerates it.
 
nomisme said:
…the moment couple forces cancel each other, the resultant force is the wall reaction force!
There is no net resultant linear force associated with couple itself. Linear forces cancel for a couple, so the applied load is a pure moment. The reaction force supplied by the wall creates a moment of force that is equal and opposite to the couple.
 
Last edited:
David Lewis said:
There is no net resultant linear force.
Of course there is. It's equal to the contact force from the wall.

David Lewis said:
The reaction force supplied by the wall creates a moment of force that is equal and opposite to the couple.
There is no reason for these moments to be equal and opposite.
 
Last edited:

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