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Center of Mass (2-Body)

Experiment Module

Center of Mass

Theory & Logic

Theoretical Background

Physics describes the fundamental mechanism of the universe. The Center of Mass (2-Body) is an essential tool for understanding Center of Mass (2-Body) in quantitative terms. Calculate Xcm = (m1x1 + m2x2) / (m1+m2).

Mathematical Formulation

The relationship between the variables is governed by the following equation:

Result = ((m1 × x1) + (m2 × x2)) ÷ (m1 + m2)
Eq 1.1: Governing Formula

Variable Legend

Symbol Parameter Unit
m1 Mass 1 kg
x1 Pos 1 m
m2 Mass 2 kg
x2 Pos 2 m

Practical Calculation Example

Problem

Calculating the result when:

  • Mass 1 = 15 kg
  • Pos 1 = 15 m
  • Mass 2 = 95 kg
  • Pos 2 = 45 m

Solution

Substituting into Eq 1.1:

Result = ((15 × 15) + (95 × 45)) ÷ (15 + 95)