The gate $\backslash ($ A B $\backslash )$ in $($Figure $1)$ is $7\mathrm{.}0$ m wide. Determine the horizontal and vertical components of force acting on the pin at B and the vertical reaction at the smooth support $\backslash ($ A $\backslash )$; $\backslash (\backslash$rho$\_\{$w$\}=1\mathrm{.}0\backslash$mathrm$\{$Mg$\}/\backslash$mathrm$\{$m$\}^\{3\}\backslash ).$

Part A

Determine the horizontal component of force acting on the pin at $\backslash ($ B $\backslash ).$

Express your answer to three significant figures and include the appropriate units.

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Part B

Determine the vertical component of force acting on the pin at $\backslash ($ B $\backslash ).$

Express your answer to three significant figures and include the appropriate units.

Part C

Determine the vertical reaction at the smooth support $\backslash ($ A $\backslash ).$

Express your answer to three significant figures and include the appropriate units.

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