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 kt=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 0 (t). The system is excited by force (F) so find the state space representation of the system if the output y=ġ(t). Figure 1 shows a system comprising a bar with mass m=12 kg and the length of the barL=2 m, two springs with stiffness kt=1000 N-m/rad and k = 2000 N/m, one damper withdamping coefficient c=50 N-s/m and two additive masses at the end of the bar, where eachmass (M) is equal to 50 kg. The rotation about the hinge A, measured with respect to thestatic equilibrium position of the system is 0(t). The system is excited by force (F) so findthe state space representation of the system if the output y=ġ(t).FmMMKt2ALFigure 1B2k

(Free body daigrm) ⇒assume small deformation(θ≃0) cosθ=1sinθ≃θ

Answered: 2 m, two springs with stiffness k=1000…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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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 kt=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 0 (t). The system is excited by force (F) so find the state space representation of the system if the output y=ġ(t).

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