Calculating Force on Quarter Cylinder Dam Gate with Hinge and Stopper

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The discussion focuses on calculating the force on a quarter cylinder dam gate's stopper, considering the hinge and the water's height. The user initially planned to determine the force by analyzing moments around the hinge but faced uncertainty regarding the normal force from the ground and its positioning. After consulting with a lecturer, it was clarified that the ground reaction force is zero, simplifying the analysis. The user expressed confidence in proceeding with the solution after this clarification. The conversation highlights the importance of understanding forces and moments in fluid mechanics applications.
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This is a picture of a quarter cylinder dam gate with a hinge at A and a stopper at B.

I need to find the force on the stopper at B as a function of the radius (R) and height of the water (h). I was going to do this by working out the moments around the hinge at A. I can solve for pressure forces and weight forces of the gate but I don't know the normal force from the ground. The hinge will have a force in the y direction so it will affect the normal force. I also don't know where to position my normal force, is it always going to be 1/2 of R or will it go through the combined centre of mass of gate and water above?
 
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Alternatively am I thinking about this problem in the wrong way and need to try a different method to find the force on the stopper?
 
Does the gate really touch the ground? Perhaps it only touches the stopper?
 
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Thanks, I spoke to the lecturer today and he said that the reaction from the ground is zero.
 
So, can you proceed with the solution then?
 
Yes, I'm fine now.
 
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