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# What $P$ is needed to hold the $4$-$\mathrm{m}$-wide gate shown in Fig. closed?

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We are asked to determine the required magnitude of force $P$ to hold the gate closed.

We will assume that the water is on the other side of the gate for easier analysis. This would still yield to the same magnitude of vertical and horizontal components of the force exerted by the water to the gate. We will then sum up the moments produced by the forces acting on the gate to determine the required magnitude of force $P$ to keep the gate closed. The following equation will be used.

$F=\gamma\cdot V\hspace{4.25cm}\tag{1}$

where:

\begin{aligned} F&=\text{force exerted by water}\\ &\phantom{=}\text{to the gate}\\ \gamma&=\text{specific weight of water}\\ V&=\text{volume of water}\hspace{2.55cm} \end{aligned}

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