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but you never deal with more than two derivatives,
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so this works.
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This is m·a, so don't forget the dots, okay?
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This is not some foreign alphabet.
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Every dot is a derivative.
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You should remember that when I do subsequent manipulation.
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That's m·a, and that's equal to force on Body 1, F1.
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Now, look at the Body One and ask,
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"What are the forces acting on it?"
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Well, it could be the whole universe.
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But we're going to divide that into two parts.
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The first part is going to be the force on Body 1 due to Body 2,