Moments of Inertia

Solid Cylinder or disc, symmetry axis. Through the center horizontally

1/2MR²

Solid Cylinder, central diameter. Through the center vertically

1/4MR² + 1/12ML²

Hoop about symmetry axis, Through the center horizontally

MR²

Hoop about diameter, Through the center vertically

1/2MR²

Solid sphere

2/5MR²

Thin spherical shell

2/3MR²

Rod about center

1/12ML²

Rod about end

1/3ML²