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Okay?
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All right, so that's one demonstration of the Parallel Axis Theorem,
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of the proof of the Parallel Axis Theorem.
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Now I'm going to show you a similar result,
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because that's going to be also useful in the study of rigid bodies.
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It has the very same flavor, so I want to do that side-by-side.
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And that's the following question.
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Suppose you have, in two dimensions,
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a whole bunch of masses:
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m1 with the location r1,
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m2 with a location r2, and they're all moving around.
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You know that given all the masses that it's something, some right here,