- #1

uiucbro

- 1

- 0

## 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= 10^4 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.

## Homework Equations

mx''+cx'+kx=F(t) where F is some force

## 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?