Water is steadily flowing through the U$-$pipe section shown in the Figure. $\backslash (30\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$s$\}\backslash )$ flow into the pipe at point $1$ with absolute pressure of $210$ kPa through a diameter $\backslash ($ D$\_\{$l$\}=55\backslash$mathrm$\{$~mm$\}\backslash ).$ At point $\backslash (3,11\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$s$\}\backslash )$ discharge to atmospheric pressure of $101\mathrm{.}3$ kPa through a $\backslash ($ D$\_\{3\}=50\backslash$mathrm$\{$~mm$\}\backslash )$ diameter pipe. It is also known that at point $2$ the pipe diameter is $\backslash ($ D$\_\{2\}=110\backslash$mathrm$\{$~mm$\}\backslash )$ and the absolute pressure is $150$ kPa $.$ The volume of water in the pipe segment is $20$ liters and the weight of the pipe itself is $140$ N $.$ Determine the $\backslash ($ x $\backslash )-$component $($horizontal$)$ of the force required to hold the pipe in place. Clearly show the direction of that force. You will receive $8$ points for the complete formulation of the problem and $2$ points for the detailed calculations of the required force.