Moment of Inertia Calculator
Calculate moment of inertia $I = \int r^2 dm$ for various geometric shapes and apply the parallel axis theorem $I = I_{cm} + Md^2$. Visualize how mass distribution affects rotational inertia and compare common shapes like disks, spheres, and rods.
Rolling Motion (No-Slip)
Analyze rolling motion with the no-slip condition $v_{cm} = R\omega$ and explore energy partitioning between translational and rotational kinetic energy. Visualize objects rolling down inclines and see how moment of inertia affects acceleration.
Angular Momentum & Conservation
Explore the vector nature of angular momentum $\vec{L} = I\vec{\omega}$ and its conservation in isolated systems. Visualize how torque changes angular momentum over time, and analyze collisions involving rotating objects where total angular momentum remains constant.