b$)$ An $L-$shaped structural section $($Figure shown: All dimensions are in mm $)$ is obtained by direct hot extrusion from a $100$ mm diameter $500$ mm long aluminum billet. The die angle is $10$ and the coefficient of friction for all interfaces is $0\mathrm{.}2.$ The work material behavior is given by $=240{}^{0\mathrm{.}2}$MPa. Determine the force required for the extrusion process. $(2.5$ Points$)$