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?

(In reply to Re: Re: Centrifugal Balance by Mike Yadasko)

The moments along the diagonal 5-4 do not match because one side is definitely heavier than the other.

123 on one side and 678 on the other.

Posted by rohit on 2005-10-20 09:15:11