Question: Consider a damped oscillator where the force is a function of velocity, [ m ddot{x}+c dot{x}+k x=F_{0} dot{x} ] Discuss the stability of this system

Consider a damped oscillator where the force is a function of velocity,

\[ m \ddot{x}+c \dot{x}+k x=F_{0} \dot{x} \]

Discuss the stability of this system in terms of the parameters \(m,

c, k, F_{0}\).

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