Formulae for moments of inertia

The list that follows gives the more important moments of inertia for some common simply shaped objects.

(a) Uniform thin rod about one end





(b) Uniform thin rod about the middle





(c) Circular disc about the centre






(d) Cylinder about the axis of symmetry:

(i) solid cylinder






(ii) hollow cylinder






(e) Sphere about a diameter







(f) a ring of negligible width about the centre