Traffic light pole is supported by a fixed support at A and a support cable BD$.$ The

pole is loaded with a $480$ lbf traffic light as shown. Assume the cable BD has an

internal tension of $544$ lbf $.$

Find:

a$)$ Free body diagram of light pole ABC. $(50$ points$)$

b$)$ Determine the reactions at the fixed support A$.(20$ points$)$

c$)$ If the cable is accidentally cut, what effect would this have on each of the

support reactions $($i$.$e$.$ do they increase, decrease, or remain the same$).$ Explain your

answer in words and$/$or calculations. $(10$ points$)$