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Question: for the system shown the input is the displacement xit...

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For the system shown, the input is the displacement xi(t). The springs are undeflected when x x2 X3 0. The variable x2 represents the displacement of M2 with respect to M. Write the mathematical model to describe the motion of masses M2 and M3 as a set of coupled differential equations. Include the appropriate free-body diagrams. Hint: Because the displacement of Mi is known as an input, it does not require an FBD. Note: xs is defined as positive to the left. x3 ti(t) x2 KI Reference point fixed on Mi

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