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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)

 Subject Author Date re(2): solution Vuksa 2006-04-10 08:52:02 re: solution Vuksa 2006-04-06 09:07:22 solution Vuksa 2006-04-05 11:12:57 solution salil 2006-02-25 12:31:49 Interesting problem Tristan 2006-02-03 21:26:57 thinking a little differently ... Morgan 2005-11-14 18:45:58 re(9): Simplification goFish 2005-11-01 20:12:46 re(8): Simplification Leonidas 2005-11-01 18:19:55 re(7): Sums of irrationals Leonidas 2005-11-01 17:43:11 re: You can get very close, but... Rollercoaster 2005-11-01 16:25:57 re(2): You can get very close, but... Rollercoaster 2005-11-01 15:52:58 re: You can get very close, but... goFish 2005-11-01 15:39:36 re(6): Sums of irrationals goFish 2005-11-01 15:33:04 You can get very close, but... Rollercoaster 2005-11-01 15:18:52 re(5): Sums of irrationals Leonidas 2005-10-31 16:32:45 re(4): Sums of irrationals goFish 2005-10-30 07:57:15 re: vector sum ideas goFish 2005-10-30 04:45:33 balance? Bob Smith 2005-10-22 00:41:04 re(3): Solution Leonidas 2005-10-20 15:23:10 re(3): Solution, I don't think so Hugo 2005-10-20 13:32:27 re: Re: Re: Centrifugal Balance rohit 2005-10-20 09:15:11 re(2): Solution rohit 2005-10-20 09:12:55 Re: Re: Centrifugal Balance Mike Yadasko 2005-10-20 04:52:37 Re: Centrifugal Balance Mike Yadasko 2005-10-20 03:28:46 re: Solution Leonidas 2005-10-19 18:57:47 re(2): Solution Nathaniel Tippens 2005-10-19 18:04:07 re: Solution Hugo 2005-10-19 17:20:14 Solution rohit 2005-10-19 13:37:14 vector sum ideas Larry 2005-10-18 23:57:32 Beginning thoughts Gamer 2005-10-18 20:57:28

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