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3.3: Moment of Momentum

Last updated

Aug 8, 2022
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- 3.2: Moment of Force
- 3.4: Notation

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In a similar way, if a particle at position $\textbf{r}$ has linear momentum ${\bf p } = m {\bf v}$ , its moment of momentum with respect to the origin is the vector $\textbf{l}$ defined by

$\textbf{l} = \textbf{r} \times \textbf{p} \label{eq:3.3.1}$

and its components are the moments of momentum with respect to the axes. Moment of momentum plays a role in rotational motion analogous to the role played by linear momentum in linear motion, and is also called angular momentum. The dimensions of angular momentum are $ML^{2}T^{-1}$ . Several choices for expressing angular momentum in SI units are possible; the usual choice is J s (joule seconds).

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