Center of Mass Calculator

Use this center of mass calculator to find the balance point of point masses in 2D.

Each field is labeled X and Y and mass in kilograms.

What It Does

This calculator finds the center of mass for a set of point masses on a plane.

It uses a weighted average of positions based on mass values.

The X result equals the sum of x times mass divided by total mass.

The Y result follows the same rule for y positions.

Use any length unit for coordinates and keep it consistent for all points.

How It Works

Enter values in the labeled fields then use the buttons to manage points.

• X coordinate: Enter the horizontal position for the point in your chosen unit.
• Y coordinate: Enter the vertical position for the point in the same unit.
• Mass in kilograms: Enter a positive mass value. Decimals work.

New points start with a mass of one kilogram by default.

The result shows the X and Y coordinates of the center of mass.

It lists the number of points and the total mass in kilograms.

Coordinates display to four decimal places for quick reading.

How to Use This Tool

1. Enter X and Y and mass for Point 1.
2. Click "Add Another Point" to add more rows as needed.
3. Use "Remove" to delete any extra row.
4. Press "Calculate Center of Mass" to get the result.
5. Click "Clear All" to reset the form and start again.

Why Use This Calculator?

This center of mass calculator helps with quick checks and learning tasks across many fields.

• Homework for physics on point masses in two dimensions.
• Early design checks for parts placed on a flat plate.
• Robot platform balance with sensors and batteries.
• Game objects that need a balance point for movement.
• Class demos that show how mass affects balance.

Points to Note

• The calculator works with point masses in two dimensions.
• Enter numbers in every field before running a calculation.
• Use a mass greater than zero for each point.
• Keep units consistent for all coordinates.
• Mass values use kilograms as the unit.
• Results show X and Y to four decimal places.
• The summary shows point count and total mass.
• The tool displays a clear message if inputs are missing or invalid.

Get Started Today

Add your points and set the masses.

Run a quick center of mass calculation.

The center of mass calculator gives fast, clear results you can use right away.