1. The problem statement, all variables and given/known data The mass of a car that acts on one wheel is 100 kg. The elasticity (spring) constant in the suspension system of that wheel is k= 10^4 N/m: Design the strut (find the friction/resistance constant c) such that any vertical motion of the wheel (set up for example by going over a bump or pothole on the road) will die out in the shortest amount of time. 2. Relevant equations mx''+cx'+kx=F(t) where F is some force 3. The attempt at a solution Of the three different damping systems (under damped, critically damped, over damped), I believe critically damped allows for the shortest amount of time until the system is back to normal. Critically damped is when c^2-4*m*k=0, so therefore c=2000. I fear that there's more to this as this question is worth a lot of points. Is there anything I missed?