🎬calculates the two non-zero components of the moment of inertia tensor based on the cylinder's prope

calculates the two non-zero components of the moment of inertia tensor based on the cylinder's properties

The moment of inertia of an object depends not only on its mass and radius but also on how that mass is distributed. For a solid cylinder, the moment of inertia is different for each axis of rotation. The equations and the 3D visualization demonstrate that it is easier to rotate the cylinder around its central axis (the blue axis), where the mass is closer to the axis of rotation, than it is to rotate it around a diameter (the green axes), where the mass is more spread out. This concept is crucial in physics and engineering because it explains why some objects are easier to spin than others, even if they have the same mass and volume.

Tensors in Cartesian Coordinates and Their Integration | Condensed Notesviadean on Notion