Center of Mass Calculator

Calculate the Center of Mass for Multiple Point Masses

Enter the mass and coordinates (x, y) for up to 3 point masses. At least one mass point must be fully entered.

Mass Point 1

Mass (m₁)

X-coordinate (x₁)

Y-coordinate (y₁)

Mass Point 2 (Optional)

Mass (m₂)

X-coordinate (x₂)

Y-coordinate (y₂)

Mass Point 3 (Optional)

Mass (m₃)

X-coordinate (x₃)

Y-coordinate (y₃)

Use our free Center of Mass Calculator to effortlessly determine the equilibrium point of a system of discrete masses. Essential for understanding object stability, this online tool simplifies complex physics calculations for students, engineers, and designers.

Formula:

The Center of Mass (CoM) for a system of discrete point masses is calculated using the following formulas:

X-coordinate of CoM (X_cm): X_cm = (∑ m_i × x_i) / (∑ m_i)
Y-coordinate of CoM (Y_cm): Y_cm = (∑ m_i × y_i) / (∑ m_i)

Where:

m_i = the mass of the i-th particle
x_i = the x-coordinate of the i-th particle
y_i = the y-coordinate of the y-th particle
∑ = summation over all particles in the system

Physics and Calculators Tools

Center of Mass Calculator

Calculate the Center of Mass for Multiple Point Masses

Results:

Formula:

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