Question: 6 . For the system shown below, find the equation of motion, determine the equilibrium point ( s ) and evaluate the stability of equilibrium

6. For the system shown below, find the equation of motion, determine the equilibrium point(s) and evaluate the stability of equilibrium point(s). For simplicity, assume that only the vertical motion of the rod affects the spring and the damper, i.e. assume that the angular displacement is small. (note: the Force due to damper is \(\vec{F}=-c \vec{v}_{P}\), where P is the point at which the damper is attached.)
6 . For the system shown below, find the equation

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