Let's take a wire or a rope. I usually do this with a chain or my scarf.
I fixate one end in my hand and apply rotation (by subtle movements of this endpoint like spinning a lasso). The rope gets into rotation and obtains certain bent shape: 
Some part is missing because cellphone cameras ain't great for high-speed photos but I hope you can imagine all the scarf.
The question is: how can I calculate/predict this shape?
Although this problem doesn't seem that bizarre, I have never seen any solution. Nor I have found this question asked anywhere on internet... Must be because I just don't know how to formulate it without pictures.
Also by taking longer rope I get more than one bend: 
I apoligize for the quality again. It is even harder to rotate this while taking picture. The form is not spiral, it is more like a shape in a plane that's rotating.
I'll be thankful for explanations, solutions, links or at least a correct formulation of this problem.
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