Summer of Math Exposition

Presented by 3Blue1Brown 3blue1brown

Explaining the Parallel Axis Theorem

Audience:

This project explains the parallel axis theorem, a simple equation that connects the moment of inertia at different axes of rotation. Everyday examples motivate a step-by-step derivation, making the concept intuitive and clear.


Analytics

3.84 Overall score*
66 Rank
6 Votes
3 Comments

Comments

4.2

I like the motivation in the opening sections for the problem we were going to solve. However I found it difficult to follow the maths because e.g. the variables capital M and small r were not initially defined. I think an animation would have helped with imagining the spinning because I couldn’t quite picture in my head what was spinning and along what axis (e.g. why were the parallel lines drawn in that specific direction?)

I also did not think that there was much novel visualisation in the explanation. However I did enjoy the final moment when all the terms cancelled to reveal the simple formula. I also think it is unclear whether this submission is a standalone project because there is a lot of linked content where I was unsure whether it was directly related.

6

Introducing a comes a bit out of nowhere - work more on building the ‘aha’ moment!

5

The diagrams were really helpful to follow the algebraic manipulations! And generally how you were guided through the steps with the reminders and such. :) Would have liked a bit more of an intuitive explanation for why it is easier to spin a broom around its middle than to spin it on its edge (and relating this to the formulas presented. if that makes sense). Starting with, why the formulas for the center of mass and moment of inertia are this way.