Solve Equation of Motion for Spring Damper System

14850842
Messages
4
Reaction score
0
Can you please help me solve the equation of motion for the following diagram
123.jpg


Thanks
 
Physics news on Phys.org
You should at least write up the equation before asking for help to solve it. So could you write the equation?
 
What I need is the equation, the rest I can work from there
 
I have not understood the figure ... The mass is attached to the spring and the dashpot?
For the system in figure (I've attached), the equation of motion is:
m\ddot{x}+c\dot{x}+kx=0
 

Attachments

  • fig.png
    fig.png
    1.4 KB · Views: 423
There is the following linear Volterra equation of the second kind $$ y(x)+\int_{0}^{x} K(x-s) y(s)\,{\rm d}s = 1 $$ with kernel $$ K(x-s) = 1 - 4 \sum_{n=1}^{\infty} \dfrac{1}{\lambda_n^2} e^{-\beta \lambda_n^2 (x-s)} $$ where $y(0)=1$, $\beta>0$ and $\lambda_n$ is the $n$-th positive root of the equation $J_0(x)=0$ (here $n$ is a natural number that numbers these positive roots in the order of increasing their values), $J_0(x)$ is the Bessel function of the first kind of zero order. I...
Are there any good visualization tutorials, written or video, that show graphically how separation of variables works? I particularly have the time-independent Schrodinger Equation in mind. There are hundreds of demonstrations out there which essentially distill to copies of one another. However I am trying to visualize in my mind how this process looks graphically - for example plotting t on one axis and x on the other for f(x,t). I have seen other good visual representations of...

Similar threads

Replies
2
Views
1K
Replies
0
Views
1K
Replies
3
Views
668
Replies
3
Views
2K
Back
Top