center of mass

Math Formula Information

Formula: ${\displaystyle {\boldsymbol {r}}_{\mathrm {G} }={\frac {\int _{\mathrm {D} }{\boldsymbol {r}}\rho \,\mathrm {d} V}{\int _{\mathrm {D} }\rho \,\mathrm {d} V}}}$

Name: center of mass

Description: unique point where the weighted relative position of a distributed mass sums to zero

Elements of the Formula

center of mass	${\displaystyle {\boldsymbol {r}}_{\mathrm {G} }}$	unique point where the weighted relative position of a distributed mass sums to zero
density	${\displaystyle \rho }$	mass per volume
position vector	${\displaystyle {\boldsymbol {r}}}$	vector representing the position of a point with respect to a fixed origin
volume	${\displaystyle V}$	quantity of three-dimensional space
mass	${\displaystyle m_{i}}$	property of matter to resist changes of the state of motion and to attract other bodies
position vector	${\displaystyle {\boldsymbol {r}}_{i}}$	vector representing the position of a point with respect to a fixed origin

Data Source

https://www.wikidata.org/wiki/Special:EntityPage/Q2945123