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 = 10^4N/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) 3. The attempt at a solution I have determined that the equation that we will most likely be using is mx''+cx'+kx=F(t) where F is some force. I at first thought that I should look at it at the critically damped point or where c^2-4mk=0 but I thought it was to simple and didn't make sense for this situation. Overall very confused and could use some assistance.