Question $1(20$ points$)$:

Calculate the value of $F_H$ needed to maintain

the gate as shown in Figure $1$ where a layer of

oil rests on top of water. The width of the gate

is $b=6m$ into the page. Neglect the weight of

the gate and use specific weight of water ${}_w=$

$9800\frac{N}{m^3}.$

Note: $I_{xc}=\frac{1}{12}b{a}^3$ for a rectangular plate.

Figure $1$