Chapter 11 Notes

Chapter 11 Notes - Chapter 11 Notes Angular Momentum o For...

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- Angular Momentum o For translational motion we have that momentum, p = mv , is conserved if there are no external forces o For rotational motion, the corresponding momentum is angular momentum Defined as: L = I ω o Angular Motion—Rotating Rigid Body The i th particle on a body with speed v i has angular momentum = Li miri2ω o = = L Σmiri2ω Iω Where I is the moment of inertia about the same axis o Angular Momentum II The torque/angular acceleration relation becomes: = Στ dLdt If there is no net torque = Στ 0 o = dLdt 0 = = = Li Iiωi Ifωf Lf Conservation of Angular Momentum o Angular Momentum III If the rigid body is rotating in the x - y plane, then L is along the z direction = = Lz L Iω o = = dLdt Idωdt Iα = = Στext Iα dLdt o Conservation of Angular Momentum If there is no net torque = = Στext dLdt 0 The angular momentum of the system is conserved = L constant = Li Lf = = Iiωi
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Chapter 11 Notes - Chapter 11 Notes Angular Momentum o For...

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