- #1

- 305

- 1

- Thread starter david90
- Start date

- #1

- 305

- 1

- #2

NateTG

Science Advisor

Homework Helper

- 2,450

- 6

- #3

- 635

- 0

ellipse?

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

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

- #4

Hurkyl

Staff Emeritus

Science Advisor

Gold Member

- 14,916

- 19

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)

- #5

- 305

- 1

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

- #6

NateTG

Science Advisor

Homework Helper

- 2,450

- 6

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.

- Last Post

- Replies
- 4

- Views
- 2K

- Last Post

- Replies
- 8

- Views
- 2K

- Last Post

- Replies
- 1

- Views
- 9K

- Replies
- 3

- Views
- 3K

- Replies
- 1

- Views
- 1K

- Replies
- 4

- Views
- 4K

- Last Post

- Replies
- 4

- Views
- 2K

- Last Post

- Replies
- 1

- Views
- 5K

- Last Post

- Replies
- 5

- Views
- 9K

- Last Post

- Replies
- 5

- Views
- 5K