perplexus.info :: General : Centrifugal Balance II

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)

Comments: ( You must be logged in to post comments.)

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

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (9)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info