$1\mathrm{.}2(\backslash (\backslash$mathbf$\{12\}\backslash )$ points$)$ Conder the following cases:

With your understanding of fluid statics $($i$.$e$.,$ how pressure changes with depth for gases and liquids$),$ answer the following:

$($a$)(2$ points; $1$ each$)$ Draw a free$-$body diagram of the gate that shows pressure distribution on the gate in the case of gas and the case of water, respectively.

$($b$)(4$ points; $\backslash (\backslash$mathbf$\{2\}\backslash )$ each$)$ Will you observe a uniform or non$-$uniform pressure distribution in the case of a gas and$/$or in the case of water? Explain why?

$($c$)(3$ points; $0\mathrm{.}5$ each$)$ On a new free$-$body diagram $($no need to show now pressure distribution$)$ identify the centroid $($CG$),$ the center of pressure $($CP$),$ and the location of the resulting pressure force acting on the gate in each case.

$($d$)(3$ points; $1\mathrm{.}5$ each$)$ Use the pressure distribution$/$hydrostatics and moment around the centroid arguments to explain the resultant force location you determined in $($c$)$ for each case.