Archive of posts with tag “rigid body”

Nov 12, 2022
Kinetic energy, momentum, and angular momentum of rigid bodies
In this article, we will find that the inertia matrix naturally appears when we calculate the kinetic energy $T$ or the angular momentum $\mathbf M$ of a rigid body. Then, we introduce the concept of principal inertia $\mathbf J_{\mathrm{pri}}$ . We also study how the inertia matrix changes under translations and rotations and how those transformations may lead to conclusions that can help us simplify the calculation of inertia matrices.
/physics #rigid body #linear algebra #classical mechanics #from zhihu