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->, angle eccentricity=1.15, angle radius=2.2cm] {angle = upp--cart--mass1}; \draw (cart.center) -- (mass2) node[midway,xshift=1mm,yshift=3mm] (mid2) {}; \draw[draw=black,fill=white] (mass2.center) circle (.15cm); - \node at (mass2.north) [anchor=south,xshift=1mm,yshift=1mm] { $(x_2,y_2)$}; + \node at (mass2.north) [anchor=south,xshift=1.5mm,yshift=1mm] { $(x_2,y_2)$}; %\pic [draw, ->, angle eccentricity=1] {angle = upp--cart--mass2}; \pic["$\theta_2\;$", draw=black, ->, angle eccentricity=1.25, angle radius=1.2cm] {angle = upp--cart--mass2}; @@ -43,7 +43,7 @@ \caption{Two pendulums on a moving cart} \end{center} \end{figure} -Two pendulums with lengths $l_1$ and $l_2$ and masses $m_1$ and $m_2$ are mounted on a moving cart with mass $M$, see Figure~\ref{fig01}. Introduce $L = T - V$ where kinetick and potential energies are given by +Two pendulums with lengths $l_1$ and $l_2$ and masses $m_1$ and $m_2$ are mounted on a moving cart with mass $M$, see Figure~\ref{fig01}. Introduce $L = T - V$ where kinetic and potential energies are given by \begin{align} T &= \frac{1}{2}M\dot x^2 + \frac{1}{2}m_1(\dot x_1^2 + \dot y_1^2) + \frac{1}{2}m_2(\dot x_2^2 + \dot y_2^2)\\ V &= m_1gl_1 c_1 + m_2gl_2c_2 -- GitLab