Consider a cantilevered beam subjected to a distributed load \(p(x)=-p_{0}\), a transverse force \(F\), and a couple \(C\) at the right end. Use the Rayleigh-Ritz method to obtain the deflection, shear force, and bending moment distribution along the length of the beam. Assume the following numerical values: \(E=100 \mathrm{GPa}, I=10^{-7} \mathrm{~m}^{4}, L=1 \mathrm{~m}\), \(p_{0}=300 \mathrm{~N} / \mathrm{m}, F=500 \mathrm{~N}\), and \(C=100 \mathrm{~N} \cdot \mathrm{m}\).