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Roll away (Posted on 2018-08-15) Difficulty: 3 of 5
Graph y = x3/3 - x2/2

Imagine a small circle sitting inside the local minimum. Gravity pulls in the negative y direction so it is quite stable there.

Now increase the size of the circle. At some point it will become too large to fit in this hollow and will be forced to roll away down into the third quadrant.

At what radius does this happen?

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  Subject Author Date
Puzzle AnswerK Sengupta2022-07-12 22:19:29
Solutionre(2): An approximate look by graphingSteve Herman2018-08-16 13:31:18
Exact AnswerDaniel2018-08-15 18:55:58
Some Thoughtsre: An approximate look by graphingCharlie2018-08-15 12:40:11
Some ThoughtsAn approximate look by graphingCharlie2018-08-15 11:50:18
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