Rolling & Sliding Disk

This interactive simulator explores Rolling & Sliding Disk in Classical Mechanics. No-slip v = ωR vs sliding: translational vs rotational KE, disk vs hoop inertia. Use the controls to change the scenario; watch the visualization and any graphs or readouts to connect the model with lectures, labs, and homework.

Who it's for: Suited to beginners and first exposure to the topic. Typical context: Classical Mechanics.

Key terms

  • rolling
  • sliding
  • disk
  • rolling disk
  • mechanics
  • classical

Live graphs

How it works

A wheel on a flat surface: if it rolls without slipping, the point touching the ground is instantaneously at rest, so v_cm = ωR. Translational and rotational kinetic energy add up; total mechanical energy stays constant on a level track without friction losses. Compare with pure sliding at the same center speed: there is no rotation, so all kinetic energy is translational — rolling carries more total energy for the same v_cm.

Key equations

No slip: v_cm = ω R  ·  K = ½ m v² + ½ I ω²
Disk: I = ½ m R²  ·  Hoop: I = m R²  ·  Sliding: ω = 0 → K = ½ m v²