Moment of Inertia (Rod, Center)

I = \frac{1}{12} M L^{2}

Moment of inertia of a thin uniform rod rotating about its center, perpendicular to its length.

Variables

Moment of inertia

Rotational inertia

kg·m²

Mass

Total mass of rod

Length

Length of rod

I = ∫r²dm. For a rod: I = ∫₋L/2^L/2 x²(M/L)dx = (1/12)ML².

0/5000