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 Centrifugal Balance II (Posted on 2005-10-18)
A circular centrifuge has 30 slots spaced evenly around its circumference. Thirty samples need to be spun in the centrifuge, their masses being 1g, 2g, 3g, . . . 29g, 30g. How can all the samples be placed in the centrifuge at once while keeping it balanced properly?

For what other values of N is it possible to balance an N slot centrifuge with samples weighing 1g, 2g, 3g, . . . (N-1)g, Ng?

 No Solution Yet Submitted by Brian Smith Rating: 4.2857 (7 votes)

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 re(6): Sums of irrationals | Comment 18 of 30 |
(In reply to re(5): Sums of irrationals by Leonidas)

Construct  the number (5 - Sqrt(2) ) (irrational),

If you think about it, there are any number of examples any of which may crop up in disguise.

 Posted by goFish on 2005-11-01 15:33:04

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