23 - Conservation of Angular Momentum

23 - Conservation of Angular Momentum - Rotational momentum...

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Rotational momentum and energy For next time: homework: Chapter 10: Problems 40, 44, & 46
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Rotational version of conservation of momentum: Linear motion (of CM) Rotational motion (about CM) ext if if = 0 then = F pp ext if = 0 then = τ LL angular momentum linear momentum = m pv = I L ω
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L is conserved, but ω is not I i ω i = I f ω f if = LL I i ω i = I f ω f
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Spinning stool You are spinning on a freely rotating bar-stool with your arms stretched out and a heavy glass mug in each hand. You now pull your arms close to your body. Assume there is no friction and no net external torque
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Spinning stool What happens to the angular momentum as you pull in your arms? 1. it increases 2. it decreases 3. it stays the same L 1 L 2
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Spinning stool ω 1 ω 2 I 2 I 1 L L What happens to your angular velocity as you pull in your arms? 1. it increases 2. it decreases 3. it stays the same
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Angular momentum = I L ω • rotational analog of linear momentum • for a particle it can also be written in terms of a cross product: = × Lrp
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Uniform circular motion r v m rv ( ) out rmv = ( ) 2 out mr I = L ω Lrp ( ) sin out rmv θ L
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This note was uploaded on 04/13/2008 for the course PHYS 211 taught by Professor Shannon during the Spring '08 term at MSU Bozeman.

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23 - Conservation of Angular Momentum - Rotational momentum...

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