Problem A $(25$ points$)$

For the frame shown below, the $8000$ lb load is connected to the $6000$ lb load by a chain drive over $18-$inch diameter sprocket wheels $\backslash ($ G $\backslash )$ and $\backslash ($ H $\backslash ).$ Equilibrium is maintained by the action of a couple $\backslash (\backslash$vec$\{$T$\}\backslash )$ acting on wheel $\backslash ($ H $\backslash ).$ There are smooth, frictionless pins at $\backslash ($ A$,$ B$,$ C$,$ D $\backslash ),$ and $\backslash ($ E $\backslash ).$ The weights of all members may be neglected. Determine the components of the pin reactions at $\backslash ($ A $\backslash )$ and $\backslash ($ E $\backslash ).$