(Solved): A radial flood gate is designed to prevent sea water (specific gravity =1.025 ) from entering a nor ...

A radial flood gate is designed to prevent sea water (specific gravity $=1.025$ ) from entering a normally dry river bed during high tides. The radial gate is $20\mathrm{ft}$ long (into the paper). a) Determine the Horizontal Force, ${\mathrm{FH}}_{\mathrm{H}}$, and the center of pressure b) Determine the Vertical Force, Fv, and the location where it acts. c) Determine the resultant force and its direction d) Prove that the resultant force passes through the radius of the curved gate by taking moments about the hinge and proving the sum of the moments about the hinge $=0$.