The cart and pendulum system of Figure 2 receives a periodic force of F(1) = 100...

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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 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