<Tr> <Td> Ellipsoid (solid) of semiaxes a, b, and c with mass m </Td> <Td> </Td> <Td> I a = m 5 (b 2 + c 2) (\ displaystyle I_ (a) = (\ frac (m) (5)) \ left (b ^ (2) + c ^ (2) \ right) \, \!) I b = m 5 (a 2 + c 2) (\ displaystyle I_ (b) = (\ frac (m) (5)) \ left (a ^ (2) + c ^ (2) \ right) \, \!) I c = m 5 (a 2 + b 2) (\ displaystyle I_ (c) = (\ frac (m) (5)) \ left (a ^ (2) + b ^ (2) \ right) \, \!) </Td> </Tr> <Tr> <Td> Thin rectangular plate of height h, width w and mass m (Axis of rotation at the end of the plate) </Td> <Td> </Td> <Td> I e = m 12 (4 h 2 + w 2) (\ displaystyle I_ (e) = (\ frac (m) (12)) \ left (4h ^ (2) + w ^ (2) \ right) \, \!) </Td> </Tr> <Tr> <Td> Thin rectangular plate of height h, width w and mass m (Axis of rotation at the center) </Td> <Td> </Td> <Td> I c = m 12 (h 2 + w 2) (\ displaystyle I_ (c) = (\ frac (m) (12)) \ left (h ^ (2) + w ^ (2) \ right) \, \!) </Td> </Tr> <Tr> <Td> Solid cuboid of height h, width w, and depth d, and mass m . <P> For a similarly oriented cube with sides of length s (\ displaystyle s), I C M = m s 2 6 (\ displaystyle I_ (CM) = (\ frac (ms ^ (2)) (6)) \, \!) </P> </Td> <Td> </Td> <Td> I h = m 12 (w 2 + d 2) (\ displaystyle I_ (h) = (\ frac (m) (12)) \ left (w ^ (2) + d ^ (2) \ right)) I w = m 12 (d 2 + h 2) (\ displaystyle I_ (w) = (\ frac (m) (12)) \ left (d ^ (2) + h ^ (2) \ right)) I d = m 12 (w 2 + h 2) (\ displaystyle I_ (d) = (\ frac (m) (12)) \ left (w ^ (2) + h ^ (2) \ right)) </Td> </Tr>

The moment of inertia of a thin spherical shell of mass m and radius r about its diameter is