The control gate $\backslash ($ A C B $\backslash )$ is pinned at $\backslash ($ A $\backslash )$ and rests on the smooth surface at $\backslash ($ B $\backslash )$ as shown in $($Figure $1).$ The fluid is water. The gate has a width of $1\mathrm{.}1$ m $.$ Neglect the weight of the gate.

Part A

Determine the minimum mass of the counter weight that should be placed at $\backslash ($ C $\backslash )$ in order to maintain a reservoir depth of $\backslash ($ h$=2\backslash$mathrm$\{$~m$\}\backslash ).$ Express your answer to three significant figures and include the appropriate units.

$\backslash [$

m$=1$

$\backslash ]$

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