For the following translational mechanical system, the springs are undeflected when (x_{1}=x_{2}=0). (a) Draw the free-body diagrams

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For the following translational mechanical system, the springs are undeflected when $x_{1}=x_{2}=0$.

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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 system State-Variable Matrix model (i.e. find $\boldsymbol{A}, \boldsymbol{B}, \boldsymbol{C}, \boldsymbol{D}$ ), where the input is force $f(t)$ and the output is the force in spring $k_{2}$.

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Design And Analysis Of Control Systems Driving The Fourth Industrial Revolution

ISBN: 9781032718804

2nd Edition

Authors: Arthur G O Mutambara

Question Posted: Mar 14, 2024 06:00 AM

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For the following translational mechanical system, the springs are undeflected when (x_{1}=x_{2}=0). (a) Draw the free-body diagrams

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X 2 b m2 k mi ron K2 Translational Mechanical System f(t)

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Design And Analysis Of Control Systems Driving The Fourth Industrial Revolution

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