Water flows in a closed pipe system with a junction in a horizontal plane that has a perforated plate with a diameter $(D_3)$ of $0\mathrm{.}1m$ on section $3,$ discharging to the atmosphere. The inflow into section $1$ of the junction equals $0\mathrm{.}5\frac{m^3}{s},$ and the discharge through the perforated plate is $0\mathrm{.}1\frac{m^3}{s}.$ If the pressure at section $1$ is $81,000Pa,$ and the diameters $D_1=0\mathrm{.}5m$ and $D_2=0\mathrm{.}4m,$ compute the forces that are needed to anchor this junction. $(5$ pts$).$

$D_3=0\mathrm{.}1m$

$3\mathrm{.}0$