LUDO › Simulations › Wave Motion and Waves on a String

Tune the String

Set the frequency, tension or length until the string settles into steady loops.

Physics · Class 11 · Standing waves on a string · 9 simulations. For JEE, NEET and your boards.

A picture of the Tune the String simulation

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What you'll learn

  1. Where it stays still: Nodes are λ/2 apart
  2. One loop: One loop: f₁ = v/2L
  3. Count the nodes: Mode n has n loops and n + 1 nodes
  4. Tune by tension: Tension sets the note: T = μ(2Lf)²
  5. Swing at a point: Amplitude along a standing wave: A cos kx
  6. Free one end: One free end: f₁ = v/4L
  7. The next note up: One free end: odd notes only
  8. Two strings, one note: Joined strings: both pieces fit whole loops
  9. Two next-door notes: Two next-door notes: f₁ is their gap