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These problems relate to objects of different weight, and using a balanced scale to determine the odd item, be it a false coin, or an under-filled sack of grain. (Usually it's coins though)
Difficulty: 3 of 5 Latest: Circular Balance Rating: 2.50
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.

For additional discussion:
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.]

(Solution Posted, 22 Comments) Submitted on 2008-03-20 by brianjn   
Page 1 of 4   next >>    
Difficulty: 3 of 5Unreliable scale | Rating: 3.00
Posted on 2008-02-28 by FrankM (Solution Posted, 3 Comments)
Difficulty: 3 of 5Four Coins and Three Weighings | Rating: 4.33
Posted on 2007-03-08 by Brian Smith (Solution Posted, 10 Comments)
Difficulty: 3 of 5Weighing Coins |
Posted on 2007-02-21 by Dennis (Solution Posted, 5 Comments)
Difficulty: 5 of 5Ceremonial Stones | Rating: 3.00
Posted on 2006-11-14 by Bractals (Solution Posted, 25 Comments)
Difficulty: 5 of 5Radioactive Coins | Rating: 4.40
Posted on 2006-10-17 by David Shin (No Solution Yet, 13 Comments)
Difficulty: 3 of 5Which is Which | Rating: 3.00
Posted on 2006-07-07 by Salil (No Solution Yet, 14 Comments)
Difficulty: 3 of 5I Only Need Two - Part II | Rating: 4.25
Posted on 2006-01-23 by Vernon Lewis (Solution Posted, 1 Comments)
Difficulty: 3 of 5I Only Need Two | Rating: 3.50
Posted on 2005-11-09 by Brian Smith (Solution Posted, 5 Comments)
Difficulty: 2 of 5Two sets of Coins | Rating: 3.50
Posted on 2005-10-07 by Brian Smith (Solution Posted, 7 Comments)
Difficulty: 4 of 5One or Two Fake Coins | Rating: 3.67
Posted on 2005-09-13 by Brian Smith (No Solution Yet, 4 Comments)
Difficulty: 3 of 5A Three Way Scale | Rating: 4.00
Posted on 2005-09-05 by Brian Smith (Solution Posted, 3 Comments)
Difficulty: 3 of 5Lemonade | Rating: 3.40
Posted on 2005-07-26 by Tristan (Solution Posted, 18 Comments)
Difficulty: 2 of 5The Difference Scale | Rating: 4.33
Posted on 2005-07-01 by Brian Smith (Solution Posted, 4 Comments)
Difficulty: 3 of 5More Scales and Measures |
Posted on 2005-06-28 by Erik O. (Solution Posted, 6 Comments)
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