Question

Figure 1 shows a system comprising a bar with mass m=12 kg and the length of the bar L=2 m, two springs with stiffness k_t=1000 N-m/rad and k=2000 N/m, one damper with damping coefficient c=50 N-s/m and two additive masses at the end of the bar, where each mass (M) is equal to 50 kg. The rotation about the hinge A, measured with respect to the static equilibrium position of the system is θ(t). The system is excited by force (F) so find the state space representation of the system if the output y=θ ˙(t).

Figure 1 shows a system comprising a bar with mass m=12 kg and the length of the bar L=2 m, two springs with stiffness k=1000 N-m/rad and k = 2000 N/m, one damper with damping coefficient c=50 N-s/m and two additive masses at the end of the bar, where each mass (M) is equal to 50 kg. The rotation about the hinge A. measured with respect to the static equilibrium position of the system is e(t). The system is excited by force (F) so find the state space representation of the system if the output y=h(t).

Answer 1

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