$3.(\backslash (\backslash$mathbf$\{20\}\backslash$mathbf$\{$~ p t s $)\}\backslash )$ Considering the elbow between the points $\backslash ($ A $\backslash )$ and $\backslash ($ B $\backslash )$ in the previous problem $($problem $2),$ take the necessary information from the results of the previous problem to calculate the anchoring forces of the elbow $(\backslash (\backslash$mathrm$\{$F$\}\_\{\backslash$mathrm$\{$Rx$\}\}\backslash )$ and $\backslash (\backslash$mathrm$\{$F$\}\_\{\backslash$mathrm$\{$Ry$\}\}\backslash )),$ that is$,$ the support forces needed to hold the elbow in place. Consider the head loss due to the elbow itself, and neglect the weight of the water and the elbow. $2.(50$ pts $)$ Water is transported from a large reservoir to a tanker truck with the help of a centrifugal pump, as shown in the image. The pipeline is made of galvanized iron. The tanker truck has a maximum storage capacity of $10,000$ liters and must be completely filled within $40$ minutes. Neglect minor losses in the inlet and exit sections of the pipeline, as well as the straight pipe section before de first elbow $($the closer to the reservoir$).$ Take the properties of water as $\backslash (\backslash$rho$=1000\backslash$frac$\{\backslash$mathrm$\{$~kg$\}\}\{\backslash$mathrm$\{$~m$\}^\{2\}\},\backslash$mu$=1\mathrm{.}0\backslash$times $10^\{-3\}\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$ms$\}\backslash ).$

a$)$ Calculate the pump head required and select the pump according to the given performance curves. $(35$ pts $)$

b$)$ Calculate the pressure at point B $($right after the elbow outlet$).(15$ pts $)$