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Moments of Inertia

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Here is a table of the ten most common moments of inertia (rotational inertia) that are used:
Shape and Axis Illustration (Click for a VRML Model) Rotational Inertia
Hoop About Central Axis Rotational Inertia for Hoop About Central Axis VRML Model I = MR^2
Hoop About Any Diameter Rotational Inertia for Hoop About Any Diameter VRML Model I = 0.5MR^2
Annular Cylinder (Ring) About Central Axis Rotational Inertia for Annular Cylinder (Ring) About Central Axis VRML Model I = 0.5M(R1^2 + R2^2)
Solid Cylinder (Disk) About Central Axis Rotational Inertia for Solid Cylinder (Disk) About Central Axis VRML Model I = 0.5MR^2
Solid Cylinder (Disk) About Central Diameter Rotational Inertia for Solid Cylinder (Disk) About Central Diameter VRML Model I = (1/4)MR^2 + (1/12)ML^2
Thin Rod About Axis Through Center Perpendicular to Length Rotational Inertia for Thin Rod About Axis Through Center Perpendicular to Length VRML Model I = (1/12)ML^2
Thin Rod About Axis Through One End Perpendicular to Length Rotational Inertia for Thin Rod About Axis Through One End Perpendicular to Length VRML Model I = (1/3)ML^2
Solid Sphere About Any Diameter Rotational Inertia for Solid Sphere About Any Diameter VRML Model I = (2/5)MR^2
Thin Spherical Shell About Any Diameter Rotational Inertia for Thin Spherical Shell About Any Diameter VRML Model I = (2/3)MR^2
Slab About Perpendicular Axis Through Center Rotational Inertia for Slab About Perpendicular Axis Through Center VRML Model I = (1/12)M(a^2 + b^2)
Created by TQ Team 16600: Clyde, Chetan, Jim
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Team Coaches: Melanie Krieger, Chhaya Taralekar