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The short piece will weigh more. Just think about a teeter-totter (whoever said that). You have a teeter-totter with nobody on it, both sides would weigh the same right? Now a skinny kid sit on one end as far out as he can, then a fat kid sits on the other end but much closer to the center. They can still balance out. Do they weigh the same? No. Call it leverage, torque, whatever, the short piece will weigh more.
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