For the following translational mechanical system, the spTings are undefiected when ::r:1 X2 = 0. (a) Draw

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For the following translational mechanical system, the spTings are undefiected when ::r:1 X2 = 0.

(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 sysleTn and justify your choice.

(d) Develop the system state-variable matrix model (i.e. find A, B, C, D), where the input is force f ( t) and the output is the force in spring k2 .

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