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Stick the pin through that and rotate it.
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With some wobbly motion, it will perform with that at the center.
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The moment of inertia through that point,
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if you just went back to basics,
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is very hard to calculate
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because you can try your little trick with concentric circles,
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that'll be nice, that'll be nice.
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Then, you'll run to the edge,
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and after that, the circles are not really full circles.
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And depending on how far you go,
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you take different fractions of a circle,
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it's not easy to do that summation.