What Is the Damping Constant of One Spring?

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To find the damping constant b of one spring in a car's suspension system, the car's weight and the sag distance are used to determine the spring constant k. The effective amplitude decay of 51.6% over 4 oscillations indicates the damping ratio, which is essential for calculating b. By applying the formula for damping in relation to the mass, spring constant, and the decay rate, the value of b can be derived. The calculations require using the gravitational constant g as 9.84 m/s². The final result will provide the damping constant in kg/s.
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The suspension (four springs) of a mass 2,603 kg car sags a distance of 23.2cm when the entire weight of the car is placed on it The effective amplitude decays to 51.6% of its initial value in 4 oscillations (exact). What is the value of the damping constant b of one of the springs (in kg/s)? (If necessary use g=9.84m/s2


any help at all would be much appreciated thank-you
 
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