A suspension system is being designed for a (1300-mathrm{kg}) vehicle. When the vehicle is empty, its static

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A suspension system is being designed for a \(1300-\mathrm{kg}\) vehicle. When the vehicle is empty, its static deflection is measured as \(2.5 \mathrm{~mm}\). It is estimated that the largest cargo carried by the vehicle will be \(1000 \mathrm{~kg}\). What is the minimum value of the damping coefficient such that the vehicle will be subject to no more than 5 percent overshoot, whether it is empty or fully loaded.

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