Physics formula

Moment of inertia, also called mass moment of inertia or the angular mass or MOI, Moment of inertia is the rotational analogue to mass, is a property of physics that indicates the relative difference in how easy or difficult it will be to set any object in motion about a defined axis of rotation, The moment of inertia plays much the same role in rotational dynamics as mass does in basic dynamics, determining the relationship between angular momentum and angular velocity, torque and angular acceleration.

picture below show object type and moment of inertia formula list


a brief picture with 3 D illustration see picture below, picture below is moment inertia for circular based types


rectangle type of moment inertia formula, you can see at picture below, click the picture to enlarge


remember that those formula list is for homogeneous object.