Pure rolling on a fixed surface (v = Rω, a = Rα; K = ½mv² + ½Iω²)
jee-mainjee-advancedneet-ug
v = Rω, a = Rα; K = ½mv² + ½Iω²
What each symbol means
| Symbol | What it stands for |
|---|---|
| I | MOI about axis through COM parallel to rotation axis |
| R | Radius |
| m | Mass |
| v | Speed of centre (m/s) |
| ω | Angular speed (rad/s) |
When to use this
No slipping at contact; static friction may do zero work in pure roll on fixed ground.