Leumas Physics

Parallel Axis Theorem

I = I_cm + m·d^2

What it says

The moment of inertia about any axis equals the moment of inertia about a parallel axis through the center of mass plus the mass times the square of the distance between the two axes.

Symbols

SymbolQuantityDimension
IMoment of inertia about axis (kg·m^2)M L^2
I_cmMoment of inertia about center of mass (kg·m^2)M L^2
mMass (kg)M
dDistance between axes (m)L

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Connects to

Filed under Mechanics · derive through it in the explorer