Finding the point where the line of action intersect with r

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In summary, the conversation discusses finding the point of intersection between a line of action and CD, as well as the calculation of moments and torque in relation to forces. The conversation also considers the possibility of shortcuts in solving the problem.
  • #1
werson tan
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Homework Statement


I'm having problem of finding the point where the line of action intersect with CD , hot to do it ?
Fx = -500cos60 - 250(4/5)
Fy = 300 + 500sin60 + 250(3/5)
FR = 991N

Homework Equations

The Attempt at a Solution

 

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  • #2
What can you say about moments?
 
  • #3
haruspex said:
What can you say about moments?
moment = rF r = perpendicular distance from the force... Is there any shortcut to do this question ? or just keep on trial and error until get the correct ans ??
 
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  • #4
werson tan said:
moment = rF r = perpendicular distance from the force... Is there any shortcut to do this question ? or just keep on trial and error until get the correct ans ??
No, I mean what is the relationship between the moments of the forces and torque in the diagram about C and the moment of the equivalent force?
 

FAQ: Finding the point where the line of action intersect with r

What is the line of action?

The line of action is an imaginary line that represents the direction and magnitude of a force. It is often depicted as an arrow pointing in the direction of the force and labeled with its magnitude.

What is "r" in this context?

In this context, "r" represents the position vector of a point on the line of action. It indicates the distance and direction of the point from a fixed reference point, usually the origin.

Why is it important to find the point where the line of action intersects with "r"?

It is important because it allows us to determine the exact location where the force is acting on an object. This information is crucial in analyzing the effects of the force on the object's motion and stability.

How is the point of intersection calculated?

The point of intersection is calculated by finding the point where the position vector "r" is perpendicular to the line of action. This can be done by using vector algebra and trigonometry.

Are there any real-life applications of finding the point where the line of action intersects with "r"?

Yes, this concept is used in various fields such as engineering, physics, and biomechanics. For example, in engineering, it is used to calculate the torque exerted by a force on a rotating object. In biomechanics, it is used to analyze the forces acting on the human body during movement.

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