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Centrifugal Balance II (Posted on 2005-10-18) Difficulty: 5 of 5
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)

Comments: ( Back to comment list | You must be logged in to post comments.)
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),

Add Sqrt(2) (irrational), answer 5 (rational).

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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