======Disc vs Ring Moment of Inertia====== **Materials: **{{$demo.materials_description}}\\ **Difficulty: **{{$demo.difficulty_description}}\\ **Safety: **{{$demo.safety_description}}\\ \\ **Categories:** {{$demo.categories}} \\ **Alternative titles:** Rolling Disc vs Ring ====Summary==== {{$demo.summary}} ====Procedure==== - Place a clean inclined plane at an angle greater than 10 degrees. - Mark a start and finish line if you want to measure the race distance. - Position the disc and the ring side by side at the starting line. - Release both objects simultaneously and allow them to roll freely. - Observe which object reaches the bottom first. ====Links==== Rotational Inertia: The Race Between a Ring and a Disc - North Carolina School of Science and Mathematics: {{youtube>CHQOctEvtTY?}}\\ Moment of Inertia Race - Disc vs Ring - SMUPhysics: {{youtube>l-FUTMzsKUQ?}}\\ 📄 Disc vs Ring - Moment of Inertia - Classroom Physics Demos: [[https://demos.smu.ca/demos/mechanics/119-moment-of-inertia-race]]\\ ====Variations==== * Try using objects of different sizes but similar shapes to compare results. * Use a stopwatch to time the roll of each object and compare quantitative results. * Increase the incline angle to see how it affects the speed difference. ====Safety Precautions==== * Ensure the inclined plane is stable to prevent it from tipping over. * Keep hands and other objects clear of the rolling path. * Use caution with heavy discs or rings to avoid injury if they fall. ====Questions to Consider==== * Why does the disc reach the bottom faster than the ring? (Because the disc has a smaller moment of inertia, so it accelerates more easily.) * How would the results change if the masses were different? (The relative speed difference is due to mass distribution, not total mass, so results would be similar.) * What role does conservation of energy play in this demonstration? (Potential energy converts into both translational and rotational kinetic energy, and the distribution determines speed.)