Moment of Inertia

Hoop about cylinder axis

Solid cylinder or disk about cylinder axis

(MR²)/2

Thin rod about perpendicular axis through center

(Ml²)/12

Solid sphere about diameter

2(MR²)/5

Hoop about diameter

(MR²)/2

Annular cylinder or ring about cylinder axis

M(R₁² + R₂²)/2

Solid cylinder or disk about central diameter

(MR²)/4 + (Ml²)/12

Thin rod about perpendicular axis through end

(Ml²)/3

Thin spherical shell about diameter

2(MR²)/3

Slab about perpendicular axis through center

M(a² + b²)/12