Mathematics I / Oscillations and Periodic Motion
Practice question · Multiple choice

A child on a swing pumps their legs in time with the motion and the amplitude grows enormously. Which principle is being exploited?

Hints
  1. Try pumping at random times. Why does that not work?
  2. Ask what makes small repeated pushes add up rather than cancel.
Show the answer

C. Resonance, since energy added at the natural frequency accumulates

Why

Timing is everything: pushes delivered at the natural frequency add coherently, and mistimed ones partly undo the previous ones. The same principle tunes a radio and collapsed the Tacoma Narrows bridge, which is why soldiers break step crossing one.

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