Category:Definitions/Free Oscillation

This category contains definitions related to Free Oscillation.
Related results can be found in Category:Free Oscillation.

Consider a physical system $S$ whose behaviour can be described with the second order ODE in the form:

$(1): \quad \dfrac {\d^2 x} {\d t^2} + 2 b \dfrac {\d x} {\d t} + a^2 x = 0$

for $a, b \in \R_{>0}$.

Let $b < a$, so as to make $S$ underdamped.

Then the motion of $S$ is referred to as free oscillation of $S$.