rotational inertia (ew)

Hoop about central axis

I = MR²

annular cylinder (or ring) about central axis

I=(1/2)M(R1²+R2²)

solid cylinder (or disk) about central axis

I = (1/2)MR²

solid cylinder (or disk) about central diameter

I = (1/4)MR² + (1/12)ML²

thin rod about axis through center perpendicular to length

I = (1/12)ML²

solid sphere about any diameter

I = (2/5)MR²

thin spherical shell about any diameter

I = (2/3)MR²

hoop about any diameter

I = (1/2)MR²

slab about perpendicular axis through center

I = (1/12)M (a² + b²)

thin rod about the end

I = (1/3)ML²