Turntable Paradox | "The Math"

Here we walk through the "proper mathematical analysis" to go with the formula quoted by Steve Mould (he focuses on building intuition of the phenomenon here https://www.youtube.com/watch?v=3oM7hX3UUEU) describing the orbital velocity of a rolling ball on a turntable. In this derivation, we focus on applying more core principles of rigid body dynamics. Enjoy :3 "Prerequisite" for fully understanding this derivation, you want to know right hand rule for cross products! Here is a very simple video which shows you how, with multiple methods- https://www.youtube.com/watch?v=nusap4GqIPk&t=2s There are alot of cross products here! Practice the right hand rule every time I write one in this video to verify the result vector points where you expect! Chapters: 0:00 Introduction 0:56 Rundown of Parameters for the Derivation 3:40 Friction Provides Torque AND the Centripetal Force 5:43 Applying Roll Without Slip Condition 9:47 Solving for the Orbital Angular Velocity Here is the referenced paper: https://m2.askthephysicist.com/Weltner.pdf Along with the clips referenced from Steve Mould's Video: https://www.youtube.com/watch?v=3oM7hX3UUEU Music! Candlepower by Chris Zabriskie is licensed under a Creative Commons Attribution 4.0 license. https://creativecommons.org/licenses/by/4.0/ Source: http://chriszabriskie.com/divider/ Artist: http://chriszabriskie.com/ #turntable #rigidbodydynamics