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I get what you're saying, but with the spin you need to introduce the notion of movement, mass and force. It adds complexity you might not be able to afford, especially since typically you want to investigate a whole bunch of shapes, not just one strip.

Also, since everything on your model is continuous, there must be a point on the strip where the centrifugal force is 0. Is that point inside or outside?

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Note that for a particle there is no discrepancy.

>introduce the notion of movement, mass and force

Hence my statement about not being in a void.

>Is that point inside or outside?

Depends on which foot is inside and which is not. That's the beauty of reality. It's fully deterministic at the marco level.

Ah. I think it's better we don't discuss this topic from a mathematical perspective and agree you can indeed do a lot of different things with a lot of different outcomes.

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