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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: ( You must be logged in to post comments.)
  Subject Author Date
re(2): solutionVuksa2006-04-10 08:52:02
re: solutionVuksa2006-04-06 09:07:22
solutionVuksa2006-04-05 11:12:57
solutionsalil2006-02-25 12:31:49
Interesting problemTristan2006-02-03 21:26:57
thinking a little differently ...Morgan2005-11-14 18:45:58
re(9): SimplificationgoFish2005-11-01 20:12:46
re(8): SimplificationLeonidas2005-11-01 18:19:55
re(7): Sums of irrationalsLeonidas2005-11-01 17:43:11
Some Thoughtsre: You can get very close, but...Rollercoaster2005-11-01 16:25:57
re(2): You can get very close, but...Rollercoaster2005-11-01 15:52:58
re: You can get very close, but...goFish2005-11-01 15:39:36
re(6): Sums of irrationalsgoFish2005-11-01 15:33:04
Some ThoughtsYou can get very close, but...Rollercoaster2005-11-01 15:18:52
re(5): Sums of irrationalsLeonidas2005-10-31 16:32:45
re(4): Sums of irrationalsgoFish2005-10-30 07:57:15
re: vector sum ideasgoFish2005-10-30 04:45:33
Some Thoughtsbalance?Bob Smith2005-10-22 00:41:04
re(3): SolutionLeonidas2005-10-20 15:23:10
re(3): Solution, I don't think soHugo2005-10-20 13:32:27
re: Re: Re: Centrifugal Balancerohit2005-10-20 09:15:11
re(2): Solutionrohit2005-10-20 09:12:55
SolutionRe: Re: Centrifugal BalanceMike Yadasko2005-10-20 04:52:37
SolutionRe: Centrifugal BalanceMike Yadasko2005-10-20 03:28:46
re: SolutionLeonidas2005-10-19 18:57:47
Some Thoughtsre(2): SolutionNathaniel Tippens2005-10-19 18:04:07
re: SolutionHugo2005-10-19 17:20:14
Solutionrohit2005-10-19 13:37:14
vector sum ideasLarry2005-10-18 23:57:32
Beginning thoughtsGamer2005-10-18 20:57:28
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