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Hidden Spring

A float bobs, a U-tube sloshes, a ball drops through the Earth. Find the hidden spring.

Physics · Class 11 · SHM with no spring in sight · 6 simulations. For JEE, NEET and your boards.

A picture of the Hidden Spring simulation

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What you'll learn

  1. Curve for a spring: k = U″ at the bottom of the valley
  2. Bobbing float: The water is the spring: k = ρAg
  3. Tip the U-tube: Both arms push back: T = 2π√(L/2g)
  4. Rolling disc: Rolling adds mass: m(1 + I/mr²)
  5. Tunnel through the Earth: Inside a planet, F = −(mg/R)x
  6. Find the valley: Rest where U′ = 0, then k = U″