Line of action from pivot to force should be zero?

In summary, the discussion revolves around the concept of torque and the pivot position when calculating torque. The individual is questioning why, when the force of a pin's line of action crosses the pivot position, the pin is still considered to produce a torque. They argue that, based on the principle that a force's line of action passing through the pivot position produces zero torque, the pin should not produce a torque. However, it is explained that the pivot position in this case is not the center of mass, and thus the individual's approach of calculating torque with respect to the center of mass is incorrect. The conversation ends with a request for more context to fully understand the problem.
  • #1
johnnyboy53
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Homework Statement



12.EX31.jpg


I am seeing the steps on others who have worked this out and they are taking the pin as the pivot position. I thought a force's line of action that passes the pivot position produces zero torque? So i tried to make the center of mass the pivot position and each calculate each torque with respect to the center of mass, which is the wrong approach. So why can we say that the pin produces a torque when the force of the pin's line of action crosses the pivot position? Shouldn't that produce a torque of zero?


Homework Equations





The Attempt at a Solution


 
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  • #2
The diagram is not enough to describe the problem. Please provide full context.
 

Related to Line of action from pivot to force should be zero?

1. What is the concept of "line of action from pivot to force should be zero?"

The line of action from pivot to force being zero is a fundamental principle in physics that states that when a force is applied to a pivot point, the line connecting the pivot point and the force must be perpendicular to the direction of the force. This means that the force will not create any rotational movement around the pivot point.

2. Why is it important for the line of action from pivot to force to be zero?

This concept is important because it ensures that a force applied to a pivot point will only create translational movement, and not rotational movement. This is crucial in many mechanical systems, such as levers and pulleys, where precise control of movement is necessary.

3. How can the line of action from pivot to force be calculated?

The line of action from pivot to force can be calculated by finding the perpendicular distance between the force and the pivot point. This can be done using trigonometric functions, such as sine or cosine, depending on the orientation of the force relative to the pivot point.

4. What happens if the line of action from pivot to force is not zero?

If the line of action from pivot to force is not zero, it means that there will be a rotational component to the force's movement around the pivot point. This can result in unintended movement or instability in mechanical systems.

5. How does the line of action from pivot to force relate to torque?

The line of action from pivot to force is directly related to torque, which is the measure of a force's ability to rotate an object around an axis. The closer the line of action is to the pivot point, the smaller the torque will be, and vice versa. This is why it is important for the line of action to be zero when rotational movement is not desired.

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