https://gdpark.blog/tags/moment-of-inertia/Recent content in Moment of Inertia on gdpark.blogHugoenWed, 21 Jan 2015 00:00:00 +0000https://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-18-radius-of-gyration/Sun, 18 Jan 2015 00:00:00 +0000https://gdpark.blog/posts/classical-mechanics-18-radius-of-gyration/Breaking down what the radius of gyration k actually is — why we square distances, what dividing by mass really does, and how k is just the mean of squared distances laid bare.https://gdpark.blog/posts/classical-mechanics-19-physical-pendulum-and-center-of-oscillation/Sun, 18 Jan 2015 00:00:00 +0000https://gdpark.blog/posts/classical-mechanics-19-physical-pendulum-and-center-of-oscillation/A casual walkthrough of how a rigid body swings as a physical pendulum, and why its period maps neatly onto the classic simple pendulum formula via the radius of gyration.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-22-the-inertia-tensor/Tue, 20 Jan 2015 00:00:00 +0000https://gdpark.blog/posts/classical-mechanics-22-the-inertia-tensor/A casual, honest walkthrough of finally grokking the moment of inertia tensor — what tensors actually are, why they’re ‘absolute’, and how the matrix form works.https://gdpark.blog/posts/classical-mechanics-23-principal-axes-of-a-rigid-body/Wed, 21 Jan 2015 00:00:00 +0000https://gdpark.blog/posts/classical-mechanics-23-principal-axes-of-a-rigid-body/A fun intro to principal axes of a rigid body — why they matter, how products of inertia vanish, and all the notation conventions that come with them.