3D Parallel-Axis Theorem Simulation
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What you can explore
Explore the Parallel-Axis Theorem (I = Icm + Md²) through an interactive, real-time PhET-style physics simulation engineered for classroom teaching, guided inquiry, and self-paced student learning. Seamlessly shift rotational axes, manipulate geometric parameters, and observe live analytical calculations alongside rotational kinetic energy changes in a dynamic 3D space.
Interactive Rigid Body Dynamics: Switch between multiple 3D geometry types including Solid Disk, Thin Ring, Slender Rod, and Rectangular Plate to explore how shape geometry influences moment of inertia.
Real-Time Calculation & Visualizations: Watch live calculations update continuously for center-of-mass moment of inertia (Icm), displacement shift (Md²), shifted total inertia (I), and rotational kinetic energy (K) alongside dynamic history graphing.
Flexible Parameter Controls: Adjust mass (M), radius/length (R), parallel axis displacement (d), angular velocity (ω), and simulation playback speed using interactive sliders.
Multi-Angle Visual Modes: Toggle between 3D Axis Shift (orbital view), Inertia Components visualization, and side-by-side Center vs. Shifted Axis comparative modes.
Teacher Tools & Interactive Whiteboard: Utilize built-in drawing tools, vector line/shape presets, laser pointers, and custom background image uploads for live classroom demonstrations.
Multi-Language Guided Narration: Access synchronized audio lesson chapters and transcripts in English, Urdu, Hindi, German, and French with customizable narration speed.
Embedded Learning & Assessment: Engage students with step-by-step exploration guides and an interactive 7-question challenge quiz designed for formative assessment.
