Numerical Problem $(20$ points$)$: You are hired by a plumbing company to install a pipeline in your client's house

$($the manager of the company is an Italian guy with a big red hat with a $M$ on it $).$ The main issue with these

pipelines is the amount of moment produced at the bends by the force produced by the flow of water.

Calculate the moment produced at the bends A$,$ D$,$ and C $($in N$.$m$)$ by the force produced by the flow of water

$($force $F$ at B$).$

Hint: Cross product method might be easier. Be careful about direction of the axes shown in the figure.