Q$2.$ ABCD is a rigid body at equilibrium with a weight of $15\mathrm{.}0$ kN per meter. $A,B,C$ are pin connections. Pulleys at A and $B$ are frictionless and their weights are negligible.

A continuous cable CE is passing through pulleys A and $B$ and subjected to a downward force $F=18\mathrm{.}51kN.$

a$-$ Draw relevant free body diagram $($or diagrams$)$

b$-$ Determine the length CD $(=$X$),$

c $-$ Determine the reaction forces $($or force components$)$ on A and C pin connections.

Solutions without free body diagrams will not be graded.