Problem $1(30$ pts$)$: Reaction calculation for simple determinate structures. For each of the two cases shown below, do the following:

a$)$ Generate the free body diagram $(6$ pts $)$

b$)$ Solve for the reactions in each of them $(14$ pts $)$

c$)$ Perform at least one validation to demonstrate that your solution is correct $(10$ pts $)$ Justify all your answers appropriately. Do not forget to declare the sign convention and reference line you are using, along with all the units for the quantities you derive in every case independently.