Table of Moments of Inertia

Body

Axis

Moment of Inertia

Thin uniform rod, mass length

Through centre perpendicular to rod

Thin uniform rod, mass length

Through an end, perpendicular to rod

Circular hoop, massradius

Through centre, perpendicular to plane of hoop

Uniform circular disc, mass radius

Through centre, perpendicular to disc

Rectangular lamina, mass length

In the plane of the rectangle, bisecting the two edbges of length 2l

Rectangular lamina, masslength

An edge perpendicular to the edges of length 2l

Cylindrical shell, masswith cylindrical base of radius

Though centre, perpendicular to plane of base

Solid cylinder, masswith circular base of radius

Though centre, perpendicular to plane of base

Solid sphere, masswith radius

Diameter

Spherical shell, massradius

Diameter