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ellipse?

x^2/r + y^2/h = 0? or something like that?

x^2/r + y^2/h = 0? or something like that?

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Let

By definition, the distance from

This tells you everything you need to solve the problem!

Start with a parametric representation of your ellipse. Say

This answer will then be a parametric equation for the curve you seek.

(note: there will be two solutions; one for the rope inside the ellipse and one for the rope outside the ellipse)

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am having trouble finding the normal/perpendicular line to parametric equation acost,bsint

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If that's not painfull enough, you can also normalize the tanget vector and take it's derivative. By normalizing the tangent, you make it travel in a circle, so the derivative will always be perpendicular or zero.

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