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This is a spinning disk.
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Every part of it is spinning,
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and the angular momentum of every part--
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if you do r cross P-- will all point outside.
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So, one way to find the angular momentum of the spinning disk
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is to have your fingers curl along the direction of rotation
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and the thumb points in the direction of angular momentum.
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So, the gyro has an angular momentum L pointing that way.
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Let me look at the top view of this gyro.
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The top view of the gyro is like this.
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This is the top of the tower.
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Here is my gyro.