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 Circular Balance (Posted on 2008-03-20)
This represents a circular balance.
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A light circular disk is needle point mounted. It has a graduated scaled track "o" from which identical measuring pans may be suspended.

Suggest the minimum number of pans as well as the minimum weighings needed, and the strategy required to determine which one of 9 coins is in weight variance with the other 8 in a visually identical collection. You should also be able to determine if the variant coin is lighter or heavier than each of the others.

At the end of each weighing, the coins being weighed will be on the balance, and the balance will be in equilibrium.

The set of nine has 7 regular coins with one weighing lighter, and the other weighing heavier than the others.
How might the circular balance assist?
Does a disparate difference in weight of the lighter to the normal than the heavier to normal influence the procedure? [This thought was raised at review.]

 See The Solution Submitted by brianjn Rating: 2.5000 (2 votes)

 Subject Author Date Dej Mar Comment brianjn 2008-04-03 17:59:31 re: Additonal commentary after reading the official solution (Spoiler) brianjn 2008-03-29 08:28:31 Additonal commentary after reading the official solution (Spoiler) Dej Mar 2008-03-28 12:47:55 An Experiment brianjn 2008-03-27 07:51:15 re: equilibrium? (amendement to solution) brianjn 2008-03-27 07:42:57 equilibrium? (amendement to solution) Paul 2008-03-27 02:35:45 re(5): Circular balance brianjn 2008-03-27 01:01:25 re(4): Circular balance Dej Mar 2008-03-27 00:01:59 re(3): Circular balance brianjn 2008-03-26 07:04:20 re(2): Circular balance Gamer 2008-03-25 22:46:08 re: part 1 solution - some readdressing brianjn 2008-03-25 02:50:03 re(3): Minimum? brianjn 2008-03-25 02:31:43 re(2): Minimum? Gamer 2008-03-25 01:24:50 re: Equilibrium/extended solution brianjn 2008-03-21 21:10:42 Equilibrium/extended solution Paul 2008-03-21 19:50:59 re(2): Minimum? Charlie 2008-03-21 09:22:15 re(3): Minimum? brianjn 2008-03-21 05:42:04 re(2): Minimum? Dej Mar 2008-03-21 05:15:22 re: Minimum? brianjn 2008-03-21 01:48:35 Minimum? Gamer 2008-03-21 01:25:11 re: part 1 solution brianjn 2008-03-20 18:58:43 part 1 solution Charlie 2008-03-20 12:24:39

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