Question: For the system shown below, the springs are undeflected when x1 = x2 = 0, and the input is force f(t). ~I f---- f(t) b2

For the system shown below, the springs are undeflected when x1 = x2 = 0, and the input is force f(t).

~I f---- f(t)

b2 /-'-;77--<->-:H/L-.>..-

Translational Mechanical System

(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 matr-·ix form (i.e. find A, B, c,

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