What is the rotation direction of a system with a force applied at point B?

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Discussion Overview

The discussion revolves around determining the rotation direction of a mechanical system when a force is applied at a specific point. Participants explore the effects of different force components on the rotation, considering both torque and the position of the forces relative to a pivot point.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant asserts that the 400N-component of the force clearly causes a counter-clockwise rotation.
  • Another participant suggests that the 300N-component induces a clockwise rotation when considering its position relative to the pivot point A.
  • A different participant expresses confusion about the clockwise rotation attributed to the 300N-component, arguing that being above point A should imply a counter-clockwise effect.
  • Further clarification is provided that the direction of the 300N-component's force, acting to the right, contributes to a clockwise rotation despite its vertical position above point A.
  • Another participant introduces a mathematical approach to calculate the moment at point A using the cross product of the position vector and the force vector, indicating that the sign of the z component of the moment determines the rotation direction.

Areas of Agreement / Disagreement

Participants express differing views on the effect of the 300N-component on rotation direction, leading to an unresolved discussion regarding the overall impact of the force components.

Contextual Notes

Participants rely on different interpretations of torque and the geometry of force application, which may depend on specific assumptions about the system's configuration and the definitions of rotation direction.

Faux Carnival
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[PLAIN]http://img137.imageshack.us/img137/8130/mompq.jpg

Hi, here is a system with a force acting on it. As you can see the force's components are shown. In systems like this, I can't decide in which direction the components rotate the system.

It is obvious that the 400N-component wants to rotate the system counter clockwise but what about the 300N-component?

Thanks!
 
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Faux Carnival said:
It is obvious that the 400N-component wants to rotate the system counter clockwise but what about the 300N-component?
Assuming point 'A' is your axis, the 300N-component 'wants' to rotate the system clockwise. Figure out the torque from each component--the bigger torque wins.

Or you can just extend the line of the 500N force back toward the axis and see on which side it falls. You'll see that the overall force acts to rotate the system counter-clockwise.
 
Thanks Doc. But I still can't tell why the 300N-component rotates it clockwise. Because it's above point A, it seems to me that it would rotate counter clockwise.
 
Faux Carnival said:
Thanks Doc. But I still can't tell why the 300N-component rotates it clockwise. Because it's above point A, it seems to me that it would rotate counter clockwise.
Extend the line of the 300N component all the way to the left. It's above point A but it acts to the right, thus rotating clockwise.
 
Let's say the force is applied at point [tex]B[/tex], you can calculate the moment at point [tex]A[/tex] with the relation :
[tex]\overrightarrow{M_A}=\overrightarrow{AB} \wedge \overrightarrow{F}[/tex]

Choosing the coordinate system such that [tex]x[/tex] and [tex]y[/tex] are respectively the horizontal and vertical axis, the sign of the [tex]z[/tex] component of the moment will give you the rotation direction (i.e. counter clockwise is the [tex]z[/tex] component is positive and clockwise if the [tex]z[/tex] component is negative).

This is another way of telling how it rotates...
 

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