Question: Consider two nonlinear dampers with the same force-velocity relationship given by (F=1000 v+400 v^{2}+20 v^{3}) with (F) in newton and (v) in meters/second. Find the

Consider two nonlinear dampers with the same force-velocity relationship given by $F=1000 v+400 v^{2}+20 v^{3}$ with $F$ in newton and $v$ in meters/second. Find the linearized damping constant of the dampers at an operating velocity of $10 \mathrm{~m} / \mathrm{s}$.

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