Enter the x and y dimensions and masses of up to 5 individual points into the calculator. The calculator will determine the center of mass of the masses entered.

## Center of Mass Formula

The following formula is used to calculate a center of mass of multiple point masses.

Center of mass = (m_{1}x_{1}y1 + m_{2}x_{2}y2 + … + m_{N}r_{N}) / (m_{1} + m_{2} + … + m_{N})

- Where m is the mass of each point
- x is the coordinate distance of each point along the x-axis
- y is the coordinate distance of each point along the y-axis

## Center of Mass Definition

The center of mass is defined as the point in which if all of the mass of an object was located at that single point, it would behave the same way as the true body of the mass.

## Center of Mass Example

How to calculate a center of mass

**First, measure all of the individual point masses**In this case, it’s extremely important that the masses your are using can be modeled as point masses. If they were irregular objects, this formula would not hold.

**Next, measure the distance of each mass**Measure the distance of each mass from an origin of x=0 and y=0

**Calculate the center of mass**Calculate the center of mass using the formula above and the measured values from steps 1 & 2.

## FAQ

**What is a center of mass?**

A center of mass is a term used in physics to describe a single point location that could be used in order to model where a mass of an object was located if all of that mass of the individual object was located at one discrete point.

**What is a point mass?**

A point mass is a single point in which mass is located.

## Related Terms

center of mass calculator |

center of mass formula |

how to calculate center of mass |

center of mass equation |

how to find center of mass |

centre of mass formula list |

finding center of mass |

finding center of gravity |

formula of centre of mass |

center of mass formula calculus |

center of mass calculator calculus |

find the mass and center of mass of the lamina |

how to find the center of mass of a triangle |

center of mass formula integral |

how to determine center of mass |

find the centroid of the region bounded by the given curves calculator |

velocity of center of mass equation |

center of mass equation physics |

how to find center of mass physics |

how to find the centre of gravity of an irregular shape |

velocity of center of mass formula |

find the center of mass of a solid hemisphere of radius a |

how to find center of mass of triangle |

finding center of mass calculus |

find the centroid of the region bounded by |

acceleration of center of mass formula |

equation for centre of mass |

center of mass of an isosceles triangle |

find center of mass of triangle |

compute center of mass |

how to find centre of gravity of irregular object |

finding the centroid of a region |

determining center of mass |

how to find the center of gravity of an irregular shape |

finding the center of gravity of an irregular shape |

how to find the center of mass of a semicircle |

center of gravity of cone formula |

how to find the centre of mass of a triangle |

how to find center of mass of two objects |

calculate the center of mass of the object below |

center of mass finder |

equation of centre of mass |

how to find center of mass of a system |

how to solve for center of mass |

finding the center of mass of an irregular object |

how to find center mass |

centre of mass of cube formula |

centre of mass formula derivation |

how to determine the center of mass |

how to get center of mass |

center of mass physics formula |

finding the center of mass of an object |

how to work out centre of mass |

how to determine the center of gravity of an irregular object |

calculate center of mass 2d |

finding center of gravity of an object |

finding center of gravity of irregular objects |

acceleration of center of mass equation |

centre of mass of a semicircle formula |

matlab find center of mass |

how to find centre of mass of triangle |

finding centre of gravity of an irregular shape |

how to compute center of mass |

center of gravity and moment of inertia formulas |