Perpetual motion lines

Hi,
I’m trying to achieve a effect. I want to have some line organised like a tree.
One end of the lines is fixed, all grouped together the other side is moving all the time at different speed. just like if i had some seed weed skeletom.

Not sure how to start: drawing API or basic drawing?
how can i have a perpetual movement but with one node fixed.

not sure if i explained well , let me know

lets take www.yuco.com to illustrate, execpt that i want the line to move.

cheers