What… on earth are you simulating here? 
That’s totally doable, and translate motion is the name of the game (with an attach constraint between root and tip for a closed loop). But I cannot show it to you, because I’m trying to keep this forum kids friendly. 
Here’s a semi-similar example.
No this wouldn’t be possible to simulate, at the moment. But could be achieved by removing the recorded animation on the other 2 axes.