Difference between revisions of "Forest UCM Ch3 AngMom"
Jump to navigation
Jump to search
(→Torque) |
(→Torque) |
||
Line 15: | Line 15: | ||
: <math> \left ( \vec \dot r \times \vec p \right )= \left ( \frac{1}{m} \vec p \times \vec p \right ) =0 </math> cross product of parallel vectors | : <math> \left ( \vec \dot r \times \vec p \right )= \left ( \frac{1}{m} \vec p \times \vec p \right ) =0 </math> cross product of parallel vectors | ||
− | : <math> \left ( \vec r \times \vec \dot p \right )=\left ( \vec r \times \vec F \right )= \vec T</math> | + | : <math> \left ( \vec r \times \vec \dot p \right )=\left ( \vec r \times \vec F \right )= \vec T</math> Definition of Torque |
+ | |||
+ | |||
+ | :<math>\vec{\dot \ell} = \vec T</math> Newton's second law for angular motion | ||
=Single particles= | =Single particles= |
Revision as of 12:29, 14 September 2014
Definition of Angular Momentum
The angular momentum of a single particle is defined as
Torque
If I take the derivative of angular momentum with respect to time I get
- cross product of parallel vectors
- Definition of Torque
- Newton's second law for angular motion