The cart and pendulum system of Figure 2 receives a periodic force of F(1) = 100 sin(6t) on the mass m in horizontal direction. %3D Derive the equations of motion for x(t) and 60(t) in terms of the given system parameters: > m 10 kg > M=2 kg > k= 1600 N/m > L=0.5 meter (Pendulum length) > g= 9.81 m/sec' Gravitational acceleration !! Use MATLAB to solve the equations of motion for 10 seconds under zero Initial Conditions. For what frequency of the external force F(t) the system may experience resonance? I x(1) k F(t) www www M