(Solved): A gate having the cross section shown in the figure below is 4ft wide and is hinged at C. The gate ...

A gate having the cross section shown in the figure below is $4\mathrm{ft}$ wide and is hinged at C. The gate weighs 19000 $\mathrm{lb}$, and its mass center is $1.67\mathrm{ft}$ to the right of the plane $\mathrm{BC}$. Determine the vertical reaction at $\mathrm{A}$ on the gate when the water level is $3\mathrm{ft}$ above the base. All contact surfaces are smooth.