# Free Vibrations of a Spring-Mass-Damper System

Free Vibrations of a Spring-Mass-Damper System

The derivation here follows the usual form given in [1], in which , , and are the mass, damping coefficient, and spring stiffness, respectively. The variable in this system is . Applying Newton's second law gives the differential equation +2n+x=0, where =k/m and .

m

c

k

x(t)

¨

x

x

2

p

2

p

2n=c/2