Why Is the Moment Negative in Case 2 Despite Using the Right Hand Rule?

In summary, the conversation discusses how to determine whether a moment is negative or positive and the use of the right hand rule in determining the direction of the moment vector. The speaker also mentions their chosen convention of taking counter clockwise moments as positive and clockwise moments as negative.
  • #1
engineer_dave
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Homework Statement



How do u find whether the moment is negative or positive in the three examples shown?? Even if you use the right hand rule, for case 2 i have seen that the moment is negative and not positive. I am taking counter clockwise as positive moments. Please help out. Thanks!

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  • #2
engineer_dave said:

Homework Statement



How do u find whether the moment is negative or positive in the three examples shown?? Even if you use the right hand rule, for case 2 i have seen that the moment is negative and not positive. I am taking counter clockwise as positive moments. Please help out. Thanks!
If you take ccw as positive, then the moment vector points out of the page toward you, using the right hand rule, in the positive Z direction. It follows that cw moments are then negative, pointing in the negative Z direction into the page away from you. So the first 2 moments, being cw are negative, and the last, being ccw, is positive, per your chosen convention.
 
  • #3


The direction of moment forces can be determined by using the right hand rule, where the thumb points in the direction of the force and the fingers curl in the direction of the moment. If the fingers curl in the same direction as the rotation, then the moment is positive. If the fingers curl in the opposite direction of the rotation, then the moment is negative. It is important to define the direction of rotation as either clockwise or counterclockwise in order to determine the direction of the moment force correctly. In case 2, if the rotation is clockwise, then the moment would be negative. If you are still having trouble determining the direction of the moment force, it may be helpful to draw a diagram or use a physical model to visualize the forces and moments.
 

1. What is the direction of moment forces?

The direction of moment forces is the direction in which the force is applied in relation to the axis of rotation.

2. How is the direction of moment forces determined?

The direction of moment forces is determined by the right-hand rule, which states that if the fingers of the right hand curl in the direction of the force, the thumb will point in the direction of the moment.

3. Are moment forces always perpendicular to the axis of rotation?

No, moment forces can be applied at any angle in relation to the axis of rotation. However, the perpendicular distance from the axis of rotation to the line of action of the force is what determines the magnitude of the moment.

4. What is the effect of changing the direction of moment forces?

Changing the direction of moment forces can change the direction and magnitude of the resulting torque, which is the rotational equivalent of force.

5. How does the direction of moment forces affect the stability of an object?

The direction of moment forces can affect the stability of an object by either increasing or decreasing the object's tendency to rotate. For example, a force applied in the same direction as the object's rotation can increase its rotational speed, while a force applied in the opposite direction can slow or stop its rotation.

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