OT: Balancing Act

Add weight to the light ones ?

My first thought, but there's no place that wouldn't be visible.

Isn't there a nice tidy mathematical solution ?>:-} ...Jim Thompson

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Trial and Error? Or average of adjacent globes? (Gn-1 + Gn + Gn+1)/3

Maybe move that 12.4 around.... Don't forget to number them;)

Cheers

They're already tagged by weight ;-) ...Jim Thompson

Is the chandelier level with no globes installed?

I'll bet it's faster overall to let the CPU crank through the duplicates than it is to write the code to skip them.

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Out of the box mode: Use christmas decorations to balance things.

What the hell does "1#" and "2#" mean? Six globes, six weights. Ah, "lbs".

Fix (any) one of the weights at (0,1) -- call it W0. (radius is immaterial -- assume all weights are point sources equidistant from a center at (0,0) -- for easy math!)

For each permutation of the remaining 5, assign the weights to (0.866,0.5), (0.866,-0.5), (-0.866,0.5), (-0.866,-0.5), and (0,-1).

Compute the center of mass as ( sum (Xi * Wi), sum (Yi * Wi) ) = (X,Y) ignoring the constant scale factor (but don't forget W0 @ (0,1)!)

Score this as X^2 + Y^2 (no need to take sqrt) to determine it's "off-centerness"

Minimize "score" over the set of possible permutations.

High school programming assignment. (Have I missed something obvious?)

Maybe Sparky Larkin can impress you with his POWER BASIC prowess!

:-/

Probably ;-) ...Jim Thompson

Have any extra wheel weights? :)

Maybe, as a starter: D B A F C E

Or turn on the heavy ones to make them lighter??

yes, due to the symmetry (which is 12) you only need to try 60 combinations.

Hey, we can be *sure* he's got plenty of solder!

Best regards,

Bob Masta DAQARTA v7.40 Data AcQuisition And Real-Time Analysis

Go buy another set, select matched globe, return the set.

This ended up looking best (there is no perfection with the mixed weights)...

D B F A C E

As in...

...Jim Thompson

Exploiting symmetry (iff I have understood your notation) I'd expect this to be closer:

B/C A A

D E F

The frame may have inherent balance flaws too.

It isn't possible to predict which of B/C or in which oerientation will give the best result. You didn't specify how the thing hangs unloaded.