The gate $\backslash ($ A B $\backslash )$ in $($Figure $1)$ is $7\mathrm{.}5$ 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.

$\backslash [$

B$\_\{$x$\}=$

$\backslash ]$

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.

$\backslash [$

B$\_\{$y$\}=$

$\backslash ]$

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.

$\backslash [$

A$\_\{$y$\}=$

$\backslash ]$