https://gdpark.blog/tags/rotation/Recent content in Rotation on gdpark.blogHugoenTue, 23 Jun 2015 00:00:00 +0000https://gdpark.blog/posts/classical-mechanics-06-inertial-and-non-inertial-frames-and-the-galilean-transforma/Tue, 23 Jun 2015 00:00:00 +0000https://gdpark.blog/posts/classical-mechanics-06-inertial-and-non-inertial-frames-and-the-galilean-transforma/Turns out Newton’s first law isn’t obvious at all — it’s secretly guaranteeing that inertial frames exist, and that’s the whole setup for the Galilean transformation.https://gdpark.blog/posts/classical-mechanics-15-angular-momentum-of-a-system-of-particles/Sat, 17 Jan 2015 00:00:00 +0000https://gdpark.blog/posts/classical-mechanics-15-angular-momentum-of-a-system-of-particles/We decompose total angular momentum into an orbital piece (system as one lump at the CM) and a spin piece (particles wiggling around it) — and show why those cross terms vanish.https://gdpark.blog/posts/classical-mechanics-17-moment-of-inertia-perpendicular-axis-theorem-and-parallel-ax/Sun, 18 Jan 2015 00:00:00 +0000https://gdpark.blog/posts/classical-mechanics-17-moment-of-inertia-perpendicular-axis-theorem-and-parallel-ax/A casual, build-it-up walkthrough of moment of inertia for flat rigid bodies, covering why it acts like rotational mass and how the perpendicular and parallel axis theorems let you shift between axes.https://gdpark.blog/posts/classical-mechanics-21-three-dimensional-motion-of-a-rigid-body/Mon, 19 Jan 2015 00:00:00 +0000https://gdpark.blog/posts/classical-mechanics-21-three-dimensional-motion-of-a-rigid-body/We level up from flat pancakes to sweet potatoes — spinning a 3D rigid body on an arbitrary axis and cooking up the full inertia tensor from direction cosines.https://gdpark.blog/posts/classical-mechanics-24-euler-s-equations-of-motion-for-a-rigid-body/Thu, 22 Jan 2015 00:00:00 +0000https://gdpark.blog/posts/classical-mechanics-24-euler-s-equations-of-motion-for-a-rigid-body/We finally dig into full-on 3D rigid body rotation — inertial frames, rotating frames, and how Euler’s equations of motion fall out of it all. lol.https://gdpark.blog/posts/classical-mechanics-25-euler-angles/Fri, 23 Jan 2015 00:00:00 +0000https://gdpark.blog/posts/classical-mechanics-25-euler-angles/Breaking down Euler angles — theta, phi, and psi — and how three coordinate systems team up to fully describe a spinning top’s orientation in space.