Show Summary Details

Page of

PRINTED FROM OXFORD REFERENCE (www.oxfordreference.com). (c) Copyright Oxford University Press, 2013. All Rights Reserved. Under the terms of the licence agreement, an individual user may print out a PDF of a single entry from a reference work in OR for personal use (for details see Privacy Policy and Legal Notice).

Subscriber: null; date: 25 September 2018

# Table of moments of inertia

Source:
The Concise Oxford Dictionary of Mathematics

# Appendix 3. Table of moments of inertia

For uniform bodies of mass M.

Thin rod, length 2l, about perpendicular axis through centre:

Ml 2.

Rectagular lamina, about axis in plane bisecting edges of length 2l:

Ml 2.

Thin rod, length 2l, about perpendicular axis through end:

4/3 Ml 2.

Rectagular lamina, about edge perpendicular to edges of length 2l:

4/3 Ml 2.

Rectagular lamina, sides 2 l and 2 b , about perpendicular axis through centre:

M(l 2 + b 2).

Mr 2

½Mr 2

½Mr 2

¼Mr 2

2/5 Mr 2

Mr 2

Elliptical lamina, axes 2 a and 2 b , about axis of length 2 a :

¼Mb 2.

Elliptical lamina, axes 2 a and 2 b , about perpendicular axis through centre:

¼M(a 2 + b 2).

Solid ellipsoid, axes 2 a , 2 b and 2 c , about axis of length 2 c :

1/5 M(a 2 + b 2).

Ellipsoidal shell, axes 2 a , 2 b and 2 c , about axis of length 2 c :

M(a 2 + b 2).