A frame structure ABCDE as shown below is pin supported at A and roller$-$supported at $C.$ A trapezoidal distributed force is applied on the section $CD$ of the frame structure. A cable is attached at point $F$ and run through a frictionless pulley attached on the frame structure at point $E.$ The cable is then pulled with a force $P$ in an orientation shown in the figure below.

a$.$ Draw the freebody diagram of the structure that you will use to write equilibrium equations

b$.$ Calculate the reactions at the pin and roller supports.

Please use this numerical information in your calculation: $L=4m,w_l=20\frac{N}{m},w_2=10\frac{N}{m},P=100N.$