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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?

No Solution Yet Submitted by Jer    
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Solution re(2): An approximate look by graphing | Comment 4 of 5 |
(In reply to re: An approximate look by graphing by Charlie)

Bravo, Daniel!

Edited on August 16, 2018, 1:31 pm
  Posted by Steve Herman on 2018-08-16 13:31:18

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