For the system shown below, the springs are undeflected when (x_{1}=x_{2}=0), and the input is force (f(t)).

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For the system shown below, the springs are undeflected when $x_{1}=x_{2}=0$, and the input is force $f(t)$.

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(a) Draw the free-body diagrams for the system.

(b) Write down the dynamic equations of motion.

(c) Choose the minimum set of state variables for the system and justify your choice.

(d) Develop the state-variable equations in matrix form (i.e. find $\boldsymbol{A}, \boldsymbol{B}, \boldsymbol{C}, \boldsymbol{D}$ ).

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Related Book For answer-question

Design And Analysis Of Control Systems Driving The Fourth Industrial Revolution

ISBN: 9781032718804

2nd Edition

Authors: Arthur G O Mutambara

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Question Posted: Mar 14, 2024 06:00 AM

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For the system shown below, the springs are undeflected when (x_{1}=x_{2}=0), and the input is force (f(t)).

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k 000 m k X2 b m2 f(t) b XXXXX Translational Mechanical System

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Design And Analysis Of Control Systems Driving The Fourth Industrial Revolution

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