Consider the beam shown below. Here, point A$,$ C$,$ and D are roller supports; and point B is a pinned support. This beam has two internal hinges at E and F $.$ Assume $L=3m$ and $w=6k\frac{N}{m}.$

a$)$ What is the static indeterminacy of the beam? Hint: Consider the number of unknown reaction forces present in the beam and the number of equations we have, considering static equilibrium of the beam as well as the presence of two internal hinges. $(4$ points$)$

b$)$ Find all the reactions at A$,$ B$,$C$,$ and D$.$

$(16$ points$)$