Problem $2(20$ pts$)$: Trusses $-$ The Method of Joints. For the truss shown below:

a$)$ Calculate its determinacy $(3$ pts$)$

b$)$ Generate the free body diagram $(2$ pts$)$

c$)$ Solve for the reactions and perform one validation $(5$ pts $)$

d$)$ Determine the forces in all members shown below. State if the members are in

tension or in compression. $(10$ pts $)$