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How do I find the transfer function of damped masses hanging?

I know that the transfer function is

\[

H(s) = \frac{\mathcal{L}\{y(t)\}}{\mathcal{L}\{x(t)\}}

\]

where \(u\) is the input which is a force and \(x_1\) is the output.

Given the following diagram (see below), how do I find the input and output functions?

I know that the transfer function is

\[

H(s) = \frac{\mathcal{L}\{y(t)\}}{\mathcal{L}\{x(t)\}}

\]

where \(u\) is the input which is a force and \(x_1\) is the output.

Given the following diagram (see below), how do I find the input and output functions?

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