(Solved): Problem 3 (25 PTS) The figure below shows a parabolic gate on the inclined face of a water storage ...

Problem 3 (25 PTS) The figure below shows a parabolic gate on the inclined face of a water storage facility. Determine the hydrostatic force acting on the gate and its location with respect to both the $x^{?}?y^{?}$ and $x?y$ coordinates. The water pressure is given by $p\left(x^{?},y^{?}\right)=0.139\left(6?y^{?}\right)kN/f{t}^2$ where $y^{?}$ is in feet.