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center of mass

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Math Formula Information

Formula: r G = ∫ D r ρ d V ∫ D ρ d V {\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 r G {\displaystyle {\boldsymbol {r}}_{\mathrm {G} }} unique point where the weighted relative position of a distributed mass sums to zero
mass density ρ {\displaystyle \rho } mass of a sample, material or body divided by its volume
position vector r {\displaystyle {\boldsymbol {r}}} vector representing the position of a point with respect to a given origin and axes
volume V {\displaystyle V} quantity of three-dimensional space
mass m i {\displaystyle m_{i}} property of matter to resist changes of the state of motion and to attract other bodies
position vector r i {\displaystyle {\boldsymbol {r}}_{i}} vector representing the position of a point with respect to a given origin and axes

Data Source

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