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3.9: Comparison

Last updated

Mar 5, 2022
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- 3.8: Torque
- 3.10: Kinetic energy

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At this stage I compare some somewhat similar formulas.

$\textbf{L} = \textbf{L}_{C} + \overline{\textbf{r}} \times \textbf{P}$	$\boldsymbol\tau = \boldsymbol\tau_{C} + \overline{\textbf{r}} \times \textbf{F}$
$\textbf{L} = \sum m_{i}\textbf{r}_{i} \times \textbf{v}_{i}$	$\boldsymbol\tau = \sum m_{i}\textbf{r}_{i} \times \dot{\textbf{v}}_{i}$
$\textbf{L}_{C} = \sum m_{i} \textbf{r}_{i}^{'}\times\textbf{v}_{i}^{'} \qquad$	$\boldsymbol\tau^{'} = \sum m_{i}\textbf{r}_{i}^{'}\times \dot{\textbf{v}}_{i}$
$\textbf{P} = \sum m_{i}\textbf{v}_{i} \qquad$	$\textbf{F} = \sum m_{i} \dot{\textbf{v}}_{i}$

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