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![Problem 1:
A spring-mass-damper system has an equation of motion of the form
\[
m \ddot{x}+b \dot{x}+k x=W,
\]
with
\[
\begin](https://media.cheggcdn.com/study/32b/32b69eef-c207-494f-b9b0-2e633cef8580/image)
Expert Answer
where F(t) = W is the external force acting on the system. We then find the characteristic equation by setting the determinant of the coefficients equ