Frame $(50\%)$

As shown, the system of a frame and a pulley is designed to support a $50-$kg weight. The frame is composed of two members ABD and $BC,$ which are pin connected at $B.$ The hinges at A and $C$ are both fixed to a rigid the wall. The cord has one end fixed to the vall and is wrapped around the pulley of $0\mathrm{.}1$ radius at $D$ to hang the weight on the other d$.$ Some relevant length dimensions are in the figure.

Draw three FBDs for the member

ABD,$BC,$ and the pulley mounted at $D.$

Write out the respective equilibrium equations for the members in $1),$ which you may use in $3).$

etermine the member force in BC and the horizontal $(x)$ and vertical $(y)$ mponents of reactions at A and $D.$