Skip to main content
LibreTexts - Ukrayinska

3.9: Порівняння

  • Page ID
    76318
  • \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)

    На цьому етапі я порівнюю кілька схожих формул.

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

    \(\textbf{F} = \sum m_{i} \dot{\textbf{v}}_{i}\)