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lecture30[1] - Angular Momentum Angular momentum of rigid...

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1 Physics 1D03 1 Angular Momentum Angular momentum of rigid bodies Newton’s 2 nd Law for rotational motion Torques and angular momentum in 3-D Text sections 11.2 - 11.4 Practice Problems: Chapter 11, problems 25, 27, 29, 34, 55 Physics 1D03 2 “Angular momentum” is the rotational analogue of linear momentum. Recall linear momentum: for a particle, p = m v . Newton’s 2 nd Law: The net external force on a particle is equal to the rate of change of its momentum. dt d external p F = m I v ω F τ p L (“angular momentum”) To get the corresponding angular relations for a rigid body, replace:
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2 Physics 1D03 3 Angular momentum of a rotating body: Angular momentum, L , is the product of the moment of inertia and the angular velocity. Units: kg m 2 /s (no special name). Newton’s 2 nd Law for rotation: the torque due to external forces is equal to the rate of change of L. α ω ω I dt d I dt I d dt dL = = = ) ( dt dL external = τ For a rigid body (constant I ), L = I ω So, sometimes α τ I external = ( but not always ).
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