Problem $13$: A gate in the form of a partial cylindrical surface holds back water on top of a

dam as shown in Figure. The radius of the surface is $6\mathrm{.}7m,$ and its length is $11m.$ The gate

can pivot about point $A,$ and the pivot point is $3m$ above the seat. Determine the magnitude

of the resultant water force on the gate. Will the resultant pass through the pivot? Explain.

$($Munson and Young, $1998)$