Statics describes a subset of problems within the field of mechanics. Static systems are defined by having a net [[Force|force]] and net [[Moment|moment]] of zero, therefore experiencing zero [[Acceleration|acceleration]]. Systems that fulfill such conditions are in **static equilibrium**, and fall within the field of statics. The static condition is met when every point in a system has a net force and moment of zero. Therefore, a static system has the following governing equations for every point in the system:
$\sum \vec{F}=\vec{0}$
$\sum \vec{M}=\vec{0}$
Where force and moment are vectors and can thus be expressed in terms of $x$, $y$, and $z$ components. Therefore we may express the above equations in terms of these components.
$\begin{bmatrix}\sum F_x\\\sum F_y\\\sum F_z\end{bmatrix}=\begin{bmatrix}0\\0\\0\end{bmatrix}$
$\begin{bmatrix}\sum M_x\\\sum M_y\\\sum M_z\end{bmatrix}=\begin{bmatrix}0\\0\\0\end{bmatrix}$
$$