Parallel Axis Theorem Example

The video tutorial explains the parallel axis theorem, which relates the rotational inertia of an object about an axis parallel to one through its center of mass. It derives the rotational inertia of a uniform long thin rod about its end using this theorem, showing that it equals 1/3 of the total mass times the length squared. The tutorial emphasizes the simplicity of using the parallel axis theorem compared to more complex integral equations, concluding with a confirmation of the theorem's validity.

What is the final expression for the rotational inertia of a uniform long thin rod about its end?

Discuss the significance of the parallel axis theorem in relation to more complicated integral equations.