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Rolling Race

Race a ring, a disc and a ball down a ramp. Find who wins and by how much.

Physics · Class 11 · Rolling down a slope · 8 simulations. For JEE, NEET and your boards.

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What you'll learn

  1. Down the ramp: Rolling: mgh goes into moving and spin
  2. Up the hill: Rolling up: the spin KE lifts it too
  3. Split the energy: The spin share of rolling KE is β / (1 + β)
  4. Speed from energy: Rolling KE: K = ½Mv²(1 + β)
  5. Ring vs disc: Down a slope, a = g sin θ / (1 + β)
  6. Grip to roll: Rolling needs friction: μ ≥ β tan θ / (1 + β)
  7. Nail in the floor: L about a floor point = spin part + moving part
  8. Dead heat: A dead heat: starts in the ratio of the a's