How to find moment at a certain point?

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Discussion Overview

The discussion revolves around calculating the moment of forces about a specific point in a mechanical system. Participants are exploring the application of torque concepts, vector components, and the correct methodology for determining moments based on given forces and distances.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant expresses confusion over the direction of force movement and how to interpret the sign conventions for clockwise and counterclockwise moments.
  • Another participant introduces the concept of torque as a vector and mentions the right-hand rule for determining direction, emphasizing that torque is calculated as a cross product involving force and distance.
  • Calculations are presented by a participant, breaking down forces into their x and y components, but the results lead to further questions about the accuracy of the calculations.
  • One participant points out the absence of a calculation involving a 20N force and requests clarification on the calculations presented by another participant.
  • Another participant attempts to clarify their own calculations regarding the components of a 60N force, but later acknowledges errors in their method of applying distances to the components.
  • There is a suggestion that the correct approach involves multiplying the force components by their respective perpendicular distances to the point of interest, but this is met with uncertainty regarding the previous calculations.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the calculations or the methodology for determining moments. There are multiple competing views on how to correctly apply the principles of torque and force components.

Contextual Notes

Participants express uncertainty about the correct distances to use in calculations and the interpretation of force directions. There are unresolved mathematical steps and assumptions regarding the application of torque principles.

SagarPatil
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I have tired it multiple times but I keep getting 228, 12 ,-8N

How do in what direction the force is moving? clockwise or counter clockwise?

What to do with the 20 N in the y comp?

In the book it says if it moves clockwise its negative and if it moves counter clock wise its negative.
 
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Sorry dude. I can't read your question. Can you possibly type in the actual text? Or do a better picture?

As some background that may help. Or not. Torque is a (pseudo) vector. That means it has a magnitude and direction. You usually have a rule that tells you if the vector points "this way" then it is "clockwise." Usually it is called something like "the right hand rule" where you put your thumb in the direction of the vector and your fingers then point the way the torque will be turning the thing.

Torque from a force applied at a distance from a turning point is usually defined as a cross product. So it takes into account the distance from the centre, the magnitude of the force, and the relative angles of the distance from the centre and the force.

Torque will add as a vector.
 
Anyone?
 
The moment of a force about a point = force x perpendicular distance to the line of action of the force

There are 3 forces here. I was expecting to see among your calculations 20 x 4, attributable to the 20N force, but I don't. I haven't figured out what you've done. Maybe you can explain?
 
I will explain one 60 Lb one, reset are the same.

So first I found how much force was going in the x component and the y component.

60*4/5=48 in the Y comp
60*3/5=36 in the X comp

In the Y comp, it is going 1 meter up, so I did 1*48 = 48N
Then in the X component, it is going 2 meters to the right, so I did 36*2 = 72N

So the 60N force has 48 N in the y-comp and 72N in the x component.

I did the same thing for the other componentsFor the 20N component I did (-20*3) + (20*4) = 20NWhen I add all the components it gives me 24N which is wrong.

I hope you understand.
 
SagarPatil said:
I will explain one 60 Lb one, reset are the same.

So first I found how much force was going in the x component and the y component.

60*4/5=48 in the Y comp
60*3/5=36 in the X comp

In the Y comp, it is going 1 meter up, so I did 1*48 = 48N
Then in the X component, it is going 2 meters to the right, so I did 36*2 = 72N
The last two lines above are wrong, you are multiplying by the wrong distances. After you resolve the force into horizontal and vertical components, you should then multiply by the perpendicular distance to the line of action of each component. This means you multiply the x-component by the vertical distance to point A, and the y-component by the horizontal distance.

The result of this product has units of Newton metres.
 

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