Question $4$: $[10$ points$]$ Assume that water flowing past the equilateral triangular bar shown below produces the pressure distributions indicated. The shear stress distribution along the upper and lower surfaces is inversely proportional to the length of the triangular bar and can be assumed to be $\backslash (\backslash$tau$\_\{$w$\}=\backslash$frac$\{\backslash$rho U$^\{2\}\}\{32\backslash$sqrt$\{$x$\}\}\backslash ),$ where $\backslash ($ x $\backslash )$ is the direction parallel to the flow along the upper and lower surfaces. Determine the total drag coefficient. $[$Note: Assume that the viscous stresses in the rear part of the triangle does not contribute towards the drag force.$]$