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

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.

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