MASS MOMENTS OF INERTIA An interactive module for second-year rigid-body dynamics ========================================================================= WHAT IT IS Eight short, interactive lessons on mass moments of inertia, products of inertia and the inertia tensor, written for second-year mechanical and aerospace engineering students: 2D and 3D figures, worked examples, and questions with instant feedback. It also has a Practice Lab, a Self-Check Quiz, a printable worksheet, an Inertia Explorer, a formula sheet and a glossary. Everything runs in your web browser from this folder. No internet connection, installation or account is needed. HOW TO OPEN 1. Unzip (extract) the download first. Windows: right-click the .zip file > Extract All... > Extract. macOS: double-click the .zip file. An unzipped folder appears next to it. 2. Open the unzipped folder and double-click index.html. The module opens in your default web browser. 3. Start with Lesson 1, or use "Continue where you left off" on the home page when you come back. Do not open the files from inside the zip preview (for example by double-clicking into the zip in File Explorer without extracting it). From there the pages cannot load their figures and styles, and your progress is not saved. Keep the folder structure as it is. BROWSER SUPPORT Current versions of Google Chrome, Microsoft Edge, Mozilla Firefox and Apple Safari. JavaScript must be on (it is by default), and the 3D figures need WebGL, which is on by default wherever the graphics hardware supports it. A laptop or desktop screen works best; the pages also fit tablets and phones. TROUBLESHOOTING Pages have no styling or figures are missing A box at the top of the page says so too. Either you are viewing the files inside the zip (unzip first, see HOW TO OPEN, and open index.html from the unzipped folder), or your browser is not allowed to read the module's files. Browsers from the Mac App Store, such as DuckDuckGo, may only be allowed to open the one file you double-clicked, not the assets folder next to it. Right-click index.html, choose Open With, and pick Google Chrome, Microsoft Edge, Firefox or Safari. The 3D figures are blank, or say "3D view unavailable" Your browser cannot use WebGL, usually because hardware acceleration is turned off. Chrome: Settings > System > turn on "Use graphics acceleration when available", then relaunch. Edge: Settings > System and performance > turn on "Use graphics acceleration when available", then restart. Firefox: Settings > General > Performance > untick "Use recommended performance settings", tick "Use hardware acceleration when available", then restart. Safari: WebGL is on by default; if the figures stay blank, update macOS to get the latest Safari. If that does not help, update your graphics driver or try another browser. Everything except the 3D views still works. Progress (lesson ticks, completed questions) is not saved Progress is stored by your browser, on this computer only. It is not kept in a private or incognito window, and it is lost if you clear browsing data or if your browser blocks cookies and site data for local files. Use a normal window, allow site data, and always open the module from the same folder in the same browser. The same applies to the body you build in the Inertia Explorer. The math shows raw code such as \( I = mk^2 \), or there is no menu JavaScript is turned off. Turn it on in your browser settings, then reload the page. Printing Use your browser's Print command (Ctrl+P, or Cmd+P on a Mac) and choose "Save as PDF" to keep a copy. The Formula Sheet, the Printable Worksheet and the quiz results are designed for printing. FOLDER OVERVIEW index.html Start here: the module home page README.txt This file lessons/ Lessons 1-8 practice/ Practice Lab, Self-Check Quiz, Printable Worksheet tools/ Inertia Explorer (3D sandbox) reference/ Formula Sheet and Glossary assets/ Styles, scripts and bundled libraries (never edit assets/vendor) CREDITS AND LICENSES This module bundles two open-source libraries under the MIT License. Their full license texts are in assets/vendor. three.js r186 (3D graphics) Copyright (c) 2010-2026 three.js authors License: MIT, see assets/vendor/three/LICENSE.txt KaTeX 0.18.9 (math typesetting) Copyright (c) 2013-2020 Khan Academy and other contributors License: MIT, see assets/vendor/katex/LICENSE.txt The page framework (assets/js/cyl-*.js) is shared with the Cylindrical Coordinates and Curvilinear Motion modules.