First problem from ResEng problems PDF

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https://www.wp.uni-karlsruhe.de/ResEng/problems.pdf

Only the first question
 
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well i am having difficulty for getting hc. since the resultant force (Fr) = specific weight X Hc X Area.

than i will need to find the Horizontal component at the wall and the reactions at hinge.
 
Anybody out there to help me with problem 1 from the link i have posted?
 



Fill that out, so that someone can see what your thinking.

Start by finding the centroid of the gate, then locating the center of pressure.