Moment of Inertia of Common Shapes

M.O.I of a Solid Cylinder (About Symmetry Axis)

1/2 MR^2

M.O.I of a Hollow Cylinder (About Symmetry Axis)

MR^2

M.O.I of a Hoop (About Symmetry Axis)

MR^2

M.O.I of a Hoop (About Diameter)

1/2 MR^2

M.O.I of a Solid Sphere

2/5 MR^2

M.O.I of a Hollow Sphere

2/3 MR^2

M.O.I of a Thin Rod (About It’s COM)

1/12 ML^2

M.O.I of a Thin Rod (About It’s End)

1/3 ML^2

M.O.I of a Solid Cylinder (About Central Diameter)

1/4 MR^2 + 1/12 ML^2

M.O.I of a Rectengular Lamina (About It’s COM, Passing Through It’s Length)

1/12 ML^2

M.O.I of a Rectangular Lamina (About It’s COM, Passing Through It’s Width)

1/12 MW^2

M.O.I of a Rectangular Lamina (About It’s COM, Along Perpendicular Axis)

1/12 M(L^2 + W^2)

M.O.I of a Triangluar Lamina (About It’s Base)

1/6 MH^2

M.O.I of a Hollow Cone

1/2 MR^2

M.O.I of a Solid Cone

3/10 MR^2