1. An Example for Engineering Problem on Finding Roots of
Polynomial Equation Spring Damper in
Suspension System

2. Schematic Exposing a Motor Suspension System

3. Model Physical Problem to Mathematical Problem
Spring+Damper
Damper

4. Model Physical Problem to Mathematical Problem
k : Spring stiffness (N/m)
c : Viscous coefficient (N.s/m)
x : Displacement (m)
F : Force (N)
Newton’s 2nd Law

5. Force Equation for Mass-Spring Problem
If equilibrium and M is at x = 0,
k : Spring stiffness (N/m)
c : Viscous coefficient (N.s/m)
x : Displacement (m)
f : Force (N)

6. Example :

7. References
[1]
[2]