[spec] minor formatting improvements

diff --git a/spec/dynamics.tex b/spec/dynamics.tex
index b6a1af8cd718e464c8be211f60add75fc9525b33..7856ca90eab3056143248c1de2479573e0337f72 100644 (file)
--- a/spec/dynamics.tex
+++ b/spec/dynamics.tex
@@ -22,13 +22,17 @@ To find angle of an \(a\boldsymbol{i} + b\boldsymbol{j}\) vector, use \(\theta =
 
 The resolved part of a force \(P\) at angle \(\theta\) is has magnitude \(P \cos \theta\)
 
 
 The resolved part of a force \(P\) at angle \(\theta\) is has magnitude \(P \cos \theta\)
 

-To convert force \(||\vec{OA}\) to angle-magnitude form, find component \(\perp\vec{OA}\) then \(|\boldsymbol{r}|=\sqrt{\left(||\vec{OA}\right)^2 + \left(\perp\vec{OA}\right)^2},\quad \theta = \tan^{-1}\dfrac{\perp\vec{OA}}{||\vec{OA}}\)
+To convert force \(||\vec{OA}\) to angle-magnitude form, find component \(\perp\vec{OA}\) then:
+\begin{align*}
+  |\boldsymbol{r}| &= \sqrt{\left(||\vec{OA}\right)^2 + \left(\perp\vec{OA}\right)^2} \\
+  \theta &= \tan^{-1}\dfrac{\perp\vec{OA}}{||\vec{OA}}
+\end{align*}

 
 \subsection*{Newton's laws}
 
 \begin{tcolorbox}
   \begin{enumerate}[leftmargin=1mm]
 
 \subsection*{Newton's laws}
 
 \begin{tcolorbox}
   \begin{enumerate}[leftmargin=1mm]

-    \item Velocity is constant without a net external force
+    \item Velocity is constant without \(\Sigma F\)

     \item \(\frac{d}{dt} \rho \propto \Sigma F \implies \boldsymbol{F}=m\boldsymbol{a}\)
     \item Equal and opposite forces
   \end{enumerate}
     \item \(\frac{d}{dt} \rho \propto \Sigma F \implies \boldsymbol{F}=m\boldsymbol{a}\)
     \item Equal and opposite forces
   \end{enumerate}