Center of Mass Calculator
Compute the center of mass of a two-body system.
Input Data
Mass1Kg
kg
Position1M
m
Mass2Kg
kg
Position2M
m
Results
x_cm.
1m
m₁+m₂.
2kg
m₁/(m₁+m₂).
0.5
m₂/(m₁+m₂).
0.5
At a glance:x_cm = (m₁x₁ + m₂x₂)/(m₁+m₂). Complements reduced-mass and moment-of-inertia.
Formula
x_cm = (m₁x₁ + m₂x₂)/(m₁+m₂).
$$r_{\text{cm}} = \frac{m_1 x_1 + m_2 x_2}{m_1 + m_2}, \quad \vec{F}_{\text{net}} = M \vec{a}_{\text{cm}}$$How to Use
- Enter both masses and positions.
- The tool returns the center of mass and fractions.
Case Studies
m₁=1@0, m₂=3@4
x_cm = 3 m.
FAQ
Several bodies?
Sum over all: x_cm = Σmᵢxᵢ/Σmᵢ.
Related Tools
References
Content review: Calculatorism Science Team. Results are for reference only; please refer to the relevant authorities for the official figures.