Solve the following problem. You must use an integration method vec$(F)={\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}$pvec$(n)dA.$

Note that $F_R=|vec(F)|=\sqrt[\phantom{2}]{F_x^2+F_y^2}.$

GIVEN A $1\mathrm{.}8$ m diameter drainage conduit of the type shown

in Fig. E$2\mathrm{.}9$a is half full of water at rest, as shown in Fig. E$2\mathrm{.}9$b$.$

FIND Determine the magnitude and line of action of the resul$-$

tant force that the water exerts on a $0\mathrm{.}3$ m length of the curved sec$-$

tion $BC$ of the conduit wall.

$($b$)$

$($c$)$

$($d$)$