Why Does the Solution Use FH(6) Instead of FH(10) for Gate Force Calculation?

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The discussion centers on the calculation of forces acting on a gate due to seawater pressure and a wall. The main point of contention is the use of FH(6) instead of FH(10) for calculating the horizontal force. One participant believes FH(10) should be used, as it represents the distance from the hinge to the wall. The conversation emphasizes the importance of understanding the direction of the horizontal force and its moment about the hinge point A. Clarifying these calculations is crucial for accurately determining the forces involved.
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Homework Statement


the gate is 3m wide , is hinged at point A , and rests against a smooth wall at B . Calculate the force on the gate due to seawater pressure and horizontal force exerted by wall at B . I have attached the sample answer below . I don't understand why the author use FH(6 ) instead of FH(10)
HmiBciz.png

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Homework Equations

The Attempt at a Solution


IMO , it should be FH(10) , am i right ? 10 is the distance from A to B
 

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In what direction does FH act?
 
haruspex said:
In what direction does FH act?
Horizontal
 
foo9008 said:
Horizontal
Right, so how do you find its moment about A?
 
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Ok, I forgot it's horizontal force
 
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