Numerical Problem $(20$ points$)$: Similar to the last problem, you will analyze a pipe system with a single bend.

This pipe is connected to a sprinkler, and the jet of water can come out at any direction $(in[0,360])$ with a force

of $325N.$ You are concerned with the variation of magnitude of Moment produced by the jet at point A as the $$

changes.

$(10$ points$)$ Create a plot$/$graph showing the variation of Moment magnitude at $A$ as a function of angle

of jet angle. You will use an engineering$/$graph paper, ruler, pen$/$pencil to plot this and please make sure

your graph is clean and legible. Your $x-$axis should be in terms of angle of the jet. Specifically, please use

$0,45,90,135,180,225,270,315,$ and $360$ as your data points for $x-$axis. Your $y-$axis should

show the magnitude of Moment corresponding to the aforementioned selected angles. $($Please do not use

Excel$/$Spreadsheet$/$Python to plot this$).$

$(5$ points$)$ Using the plot$/$graph$,$ please comment on the direction $$ for which the force of jet $F)$ produces

minimum and maximum magnitude of Moment at point $A.$

$(5$ points$)$ Confirm your answer using differentiation of the moment function created for the force $F$ about

point $A$ to find the maxima and minima moment magnitude $.$