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

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In solving the force and moment homework, it's important to understand that force P at joint C cannot be considered for both bodies CD and AC simultaneously, as this would incorrectly double the force at that point. The analysis shows that the net effect of force P can be distributed between the two bodies without affecting the overall outcome. Choosing which body the force at joint C acts on does not change the final answer, only the internal forces between the two bodies. The key is to maintain the balance of forces and moments, ensuring that they sum to zero as required. Properly accounting for forces at joints is crucial for accurate problem-solving in mechanics.
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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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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.
 
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