Two uniform equivalent bars are joined to form a T$-$Shape as shown in Figure Q$11.$ Each bar has mass of $50$ kg $.$ The T$-$Shape is held in equilibrium by a pinned connection to ground at point A and a wire connected between points D and E $.$

a$)$ Draw the free$-$body diagram of the T$-$Shape.

b$)$ Explain the rationale for the reactions you have shown at point A $.$

c$)$ What is the tension in the wire?

d$)$ Calculate the reaction force at A $?$

Figure Q$11$