This problem reflects on your work for Lab $3.$ A horizontal jet hits a modified plate with mass flux $\backslash (1\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$s$\}\backslash )$ and fluid velocity $\backslash (4\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash )$ as shown in $2$D cross$-$section below. The plate comprises half of a hemispherical cup and half of a $90$ degree $($interior$)$ conical plate. The jet splits and diverts equally to the hemispherical and conical parts. Calculate the required anchoring forces $\backslash (\backslash$mathrm$\{$F$\}\_\{\backslash$mathrm$\{$x$\}\}\backslash )$ and $\backslash (\backslash$mathrm$\{$F$\}\_\{\backslash$mathrm$\{$y$\}\}\backslash )$ in order to keep the plate stationary. No energy losses are present.