Solve Force & Moment Homework: Why Don't Consider P at C?

In summary, the solution to the problem does not consider the force at point C for body CD. However, it is important to note that the choice of which body the force at joint C acts on does not affect the final answer. The force between CD and AC can be distributed in any way, but it cannot be included for both bodies as this would result in a total force of 2P at that point. The problem only asks for the force between CD and AC, not the total force on both bodies.
  • #1
yecko
Gold Member
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Homework Statement


螢幕快照 2018-02-12 下午6.14.17.png


Homework Equations


Sum of force = 0 / Sum of moment = 0

The Attempt at a Solution


IMG_5986.JPG


Why don't the solution consider force P at join C for body CD?
And it considered both force P and reaction force C at join C for body AC... So force C doesn't seems to be the net force at point C...
The written one is my attempt, just for reference.
Thanks for any reply!
 

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  • #2
You need to choose which body the force at joint C acts on. It does not matter what you choose, the answer will be the same. The only thing that will change is the force between CD and AC. In fact, you could distribute the force P at C in any way you would like between the bodies. The final answer will not depend on this - only the force between CD and AC.

Note that you cannot include a force P for both CD and AC. This would make the total force on AC+CD be equal to 2P at that point and that is not what the problem asks you for.
 

1. Why don't we consider point P at point C when solving force and moment homework?

Point P at point C is not considered in force and moment calculations because it is a point of zero distance, also known as a singularity. This means that the equations used to calculate forces and moments would result in an infinite value, which is not physically meaningful.

2. What is the significance of point C in force and moment calculations?

Point C is the point of intersection between the line of action of a force and the moment arm. It is used as a reference point for calculating the moment arm and determining the direction of the moment.

3. Can point C be moved when solving force and moment problems?

Yes, point C can be moved as long as it is kept on the line of action of the force. This will not affect the magnitude of the force or the moment, but it may change the direction of the moment.

4. How is point C determined in force and moment calculations?

Point C is usually given in the problem statement or can be determined by visualizing the problem and identifying the point of intersection between the line of action of the force and the moment arm. Alternatively, it can also be calculated using trigonometric equations.

5. Is point C always necessary in force and moment calculations?

No, point C is not always necessary. In some cases, the force and the moment arm may be given, and point C may not be explicitly mentioned. However, it is important to understand the concept of point C and its role in force and moment calculations.

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