lecture29 - Angular Momentum Angular Angular momentum of...

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Physics 1D03 - Lectur 1 Angular Momentum Angular Momentum Angular momentum of rigid bodies Newton’s 2 nd Law for rotational motion Torques and angular momentum in 3-D Text sections 11.1 - 11.6
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Physics 1D03 - Lectur 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 ϖ F τ p L (“angular momentum”) To get the corresponding angular relations for a rigid body, replace:
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Physics 1D03 - Lectur 3 Angular momentum of a rotating rigid body: Angular momentum, L , is the product of the moment of inertia and the angular velocity. Units: kg m 2 /s (no special name). Note similarity to: p=mv Newton’s 2 nd Law for rotation: the torque due to external forces is equal to the rate of change of L. α ϖ ϖ I dt d I dt I d dt dL = = = ) ( dt dL external = τ For a rigid body (constant I ), L = I ϖ So, sometimes α τ I external = ( but not always ).
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