Matrice d'inertie d'un cylindre creux

The aim of this video is to determine, using triple integral calculations, the inertia matrix of a homogeneous hollow cylinder. We begin by determining the inertia matrix at point G, the center of gravity of the solid, and then we deduce the inertia matrix at point O, the center of the solid's base disks. Video outline: 0:00 Introduction 1:43 Presentation of the hollow cylinder and the objective of the video 3:57 Review of cylindrical coordinates 5:08 Calculation of the moments of inertia A, B, and C 20:34 Calculation of the products of inertia D, E, and F 26:18 Conclusion: Inertia matrix at point G 26:48 Consequence: Inertia matrix at point O