Draw the required FBD$($s$)$ for the stoplights and submit your work to Gradescope.

$?$

According to What Things Weigh, the standard American traffic light weighs between $30$ and $50$ pounds. $($Part of the weight disparity depends on the material used in a specific traffic light.$)$ Consider that these both weigh $35\mathrm{.}4$ lb $.$

There are three cords in the picture above. Define the angles that each cord makes to the horizontal as $,,$ and $($from left to right.$)$

I think that road had four lanes but the two on the left were bigger than the two on the right. So$,$ assume the road is $43\mathrm{.}4$ ft wide and that the left street light hangs in the middle with the right street light being about $\frac{3}{4}$ of the way across the width of the street.

About that street sign: street signs are printed on $\mathrm{.}080$ aluminum. At ${24}^{\text{@}\text{'}}{6}^n,$ that amounts to $11\mathrm{.}5$ in $3$ of aluminum. The density of aluminum is about $0\mathrm{.}1$ lb$/$in$3$ so that sign probably only weighs a couple pounds $-$ an order of magnitude less than the street lights and therefore probably a lot less than the tension in the cords. You can see that the cord does not dip at the attachment points. It is probably therefore a reasonable engineering assumption to neglect the presence of the street sign in the analysis. $($This is the kind of decision making that you will do as an engineer.$)$

Take $=6$ and $=4\mathrm{.}89.$

What is the tension on the cord to the left of the left$-$most stoplight?

Answer: $$

What is the tension on the cord between the stoplights?

Answer: $186$ lb

What is the tension in the third to the right of the right$-$most stoplight?

Answer: $$