In [1]:
from IPython.display import display, Math, Latex
%%latex \begin{align} \v{F} &= \mass{S} \acc{Scm}{N} \\ \v{R}^A + \v{F}^A + \v{F}^B + \v{F}^C &= \mass{A} \acc{Acm}{N} + \mass{B} \acc{Bcm}{N} + \mass{C} \acc{Ccm}{N} \\ \end{align}
A
%%latex \begin{align} \acc{Acm}{N} &= \acctwo{Acm}{N}{Ao}{A} \\ \acc{Ao}{N} &= \acc{No}{N} = \vec{0} \\ \avel{A}{N} &= \qd{A} \u{a}{z}\\ \aacc{A}{N} &= \deriv{N}{\avel{A}{N}} = \qdd{A} \u{a}{z}\\ \end{align}
B
%%latex \begin{align} \acc{Bcm}{N} &= \acctwo{Bcm}{N}{Bo}{B} \\ \acc{Bo}{N} &= \acctwo{Bo}{N}{Ao}{A} \\ \aacc{B}{N} &= \aaccadd{N}{A}{B} \\ \avel{B}{A} &= \qd{B} \u{b}{z} \\ \aacc{B}{A} &= \qdd{B} \u{b}{z} \\ \avel{B}{N} &= \aveladd{N}{A}{B} \\ \end{align}
C
%%latex \begin{align} \acc{Ccm}{N} &= \acctwo{Ccm}{N}{Co}{C} \\ \aacc{C}{N} &= \aaccadd{N}{B}{C} \\ \avel{C}{N} &= \aveladd{N}{B}{C} \\ \end{align}
%%latex \begin{align} \expr{\pos{Acm}{Ao}}{N} = \rot{A}{N} \expr{\pos{Acm}{Ao}}{A} \end{align}
%%latex \begin{align} \avel{A}{N} = \qd{A} \u{a}{z} \\ \avel{B}{A} = \qd{B} \u{b}{z} \\ \avel{C}{B} = \qd{C} \u{c}{z} \\ \end{align}