Use vector loop analysis and Euler's equation to find y, \beta, \dot{y} \text { and } \dot{\beta} \text { Let } r=20 \mathrm{~cm}, L=13 \mathrm{~cm}, D=30 \mathrm{~cm} \quad \theta=60^{\circ} \text

{ and } \dot{\theta}=2 \mathrm{rad} / \mathrm{s} You should submit your detailed solution and justifiedassumptions alongside with the MATLAB code.