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lecture 19 - Lecture 19 Angular Momentum Conservation of...

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1 Lecture 19 Angular Momentum Conservation of angular momentum
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2 p r L × = Angular momentum The magnitude of L is = = rp p r L The direction of L is given by the right hand rule and its unit is kg m 2 /s.
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3 Curl the fingers of your right hand so that they curl in the direction a point on the object moves, and your thumb will point in the direction of the angular momentum.
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4 ( 29 ( 29 ( 29 ( 29 τ F r F r p v p r p r p r L = × + = × + × = × + × = × = 0 dt d dt d dt d dt d If τ ext = 0, then angular momentum is conserved.
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5 For a rigid body, the angular momentum is ϖ ϖ ϖ = = = = = = = = = 1 2 1 1 1 i i i i i i i i i i i i i i I r m r m r v m r p r L
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6 Consider a person holding a spinning wheel. When viewed from the front, the wheel spins CCW. Holding the wheel horizontal, they step on to a platform that is free to rotate about a vertical axis.
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7 Initially, nothing happens. They then move the wheel so that it is over their head. As a result, the platform turns CW (when viewed from above).
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