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Difficulty: 3 of 5 Latest: Roll away
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?

(No Solution Yet, 4 Comments) Submitted on 2018-08-15 by Jer   
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