Leumas Physics

Center of Mass (1D)

x_cm = Σ(m_i·x_i) / Σ(m_i)

What it says

The center of mass of a set of point masses on a line is the mass-weighted average of their positions.

Symbols

SymbolQuantityDimension
x_cmCenter of mass position (m)L
massesList of masses (kg)M
positionsList of positions (m)L

Work it out

Enter what you know. No account needed.

Connects to

Filed under Mechanics · derive through it in the explorer