lecture21 - Lecture 21 Conservation of Angular Momentum 1...

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Lecture 21 Conservation of Angular Momentum 1 Review: Analogies between Linear and Rotational Motion TABLE of anaologies 1.1 Angular Momentum of a single particle For a single particle a distance r from the point about which it rotates (like one of the balls in the barbell example) ~ L = ~ r × ~ p = mvr Amount of rotation depends on “impact parameter” (distance from the axis of rotation). DRAW - rotation max when it hits one end. Conceptually we can see that it is also proportional to mv of particle. So, angular momentum conceptually is related to how much spin is induced when the “particle” hits the stick. In this case, the angular momentum is transferred to the stick in the same way that momentum is transferred in a linear collision. The single particle has angular momentum! IMPORTANT - de±ned relative to a reference point!!! Stick example - could be pinned about another point (instead of center). Amount of rotation will depend on where particle
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lecture21 - Lecture 21 Conservation of Angular Momentum 1...

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