Moment of a Force About a Point

In summary, the conversation discusses the concept of force and torque around a point, specifically in regards to the diagram attached. It is determined that in this scenario, the force F alone does not produce torque at point A, as there is an opposing force at point O that controls the torque. It is also noted that the line of action of F does pass through point A, which is the point where the rod meets the bar. 3D drawings can be confusing in this context.
  • #1
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Homework Statement



I'm a bit confused on when a force creates a moment about a point, and when it does not. In particular, in the attached diagram, would F be able to produce a moment about point A? I initially thought that wouldn't be possible as A lies on the same line as F, but since F does not seem to pass directly through A, I'm not so sure.
 

Attachments

  • Moment About a Point.PNG
    Moment About a Point.PNG
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  • #2
The force, F, alone does not produce torque at A. The fact that there is an offset stationary pivot point, O, means that there is a force at O opposing F which produces a torque around A. (You can see that if the pivot point, O was moved to the other side of the force at A, then the torque would switch to the opposite sign. So it is the opposing force at O that is controlling the torque.)
 
  • #3
Note that the line of action of F does pass through A. A is the point or hole where the rod meets the bar. 3D drawings can get very confusing.
 

Related to Moment of a Force About a Point

1. What is the moment of a force about a point?

The moment of a force about a point, also known as torque, is a measure of the turning effect of a force on an object. It is the product of the magnitude of the force and the perpendicular distance from the point to the line of action of the force.

2. How is the moment of a force calculated?

The moment of a force can be calculated by multiplying the magnitude of the force by the distance from the point to the line of action of the force, and then multiplying that by the sine of the angle between the force and the line of action.

3. What is the difference between a positive and negative moment of a force?

A positive moment of a force indicates that the force is causing the object to rotate in a clockwise direction, while a negative moment indicates that the force is causing the object to rotate in a counterclockwise direction.

4. How does the moment of a force affect an object's stability?

The moment of a force can affect an object's stability by causing it to rotate or topple over. If the moment of a force is greater than the object's resistance to rotation, it will rotate and become unstable. If the moment is less than the object's resistance to rotation, it will remain stable.

5. What are some real-world applications of the moment of a force?

The concept of moment of a force is used in various fields such as engineering, physics, and sports. It is used to design structures that can withstand forces and remain stable, such as bridges and buildings. It is also important in understanding the mechanics of human movement in sports like gymnastics and figure skating.

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