Pendulum Problem $($Solve with SIMULINK$)$Consider a simple pendulum having length L$,$ mass m$,$ and instantaneous angular displacement $($theta$),$ as shown below in Figure $1.$The force equation for pendulum is$22$d sin $0$ d mg mL t$+=$Thus$22$d sin dgt L $=.$For all angles $,$ we make the assumption that sin $=$ leading to an analytical solution. However, for large angles $,$ we resort to a numerical method to solve the differential equation above. We fi rst reduce the second$-$order differential equation to a set of two fi rst$-$order differential equations by introducing $($angular velocity$),$ thusddd sin$()$ dtgt L