Question: A 2 - m - high, 3 - m - wide rectangular plate is used to control the flow from a 4 - m -

A 2-m-high, 3-m-wide rectangular plate is used to control the flow from a 4-m-deep channel. The Floodgate is hinged from its lower edge, and it is restrained from opening by a ridge in its upper edge. Water in the channel has a 1,005 kg/m^3 density.
a. How deep is the centroid of the floodgate?
b. What is the average hydrostatic pressure applied on the floodgate?
c. What is the total hydrostatic force exerted on the floodgate?
d. How deep is the center of pressure of the hydrostatic force?
e. What is the force exerted on the plate by the ridge?

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