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Loop the Loop

Send a ball round a loop or a stone round on a string. Find the speed that just makes it.

Physics · Class 11 · Round a vertical circle · 7 simulations. For JEE, NEET and your boards.

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What you'll learn

  1. Just make it: The ball needs v² = gR at the top
  2. Speed at the top: Energy gives the speed anywhere on the loop
  3. Round on a string: A stone on a string needs √(5gR) at the bottom
  4. Pull at the bottom: At the bottom, the string pulls up against gravity
  5. Snap!: The string snaps first at the bottom
  6. Bead on a ring: The ring's push: N = mg(2 − 3 cos θ)
  7. Loop on a ramp: On a tilted board, only g sin α acts along it