Sign-up for free online course on ANSYS simulations!| Include Page | ||||
|---|---|---|---|---|
|
| Include Page | ||||
|---|---|---|---|---|
|
| Note |
|---|
If you get a "LaTex markup" error on this page, please reload the page to see the equations that use the Latex markup. |
...
Consider a spring-mass system shown in the figure below.
Applying F = ma in the x-direction, we get the following differential equation for the location x(t) of the center of the mass:
| Latex |
|---|
\[
m \ddot{x} + k x =0
\]
|
The initial conditions at t=0 are
| Latex |
|---|
...
\[
x(0)=1,
\]
|
and
| Latex |
|---|
\[ v(0)=\dot{x} ̇(0)=0 \] |
The first condition above specifies the initial location x(0) and the second condition, the initial velocity v(0).
...