Question: Consider the simple system, (m ddot{x}+k x=F(t)), where steady-state solution (x_{s}(t), m), and (k) are known and (F(t)) is unknown. Suppose the initial conditions are

Consider the simple system, $m \ddot{x}+k x=F(t)$, where steady-state solution $x_{s}(t), m$, and $k$ are known and $F(t)$ is unknown. Suppose the initial conditions are both equal to zero. What can we determine about $F(t)$ ?

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