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TheRealPhone

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## Homework Statement

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.

## Homework Equations

mx′′+cx′+kx=F(t)

## 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.