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Updated: May 5, 2026
08:12
Experimental Methods to Study Human Postural Control
Published on: September 11, 2019
9.1K
People bouncing on trampolines: dramatic energy transfer, a table-top demonstration, complex dynamics and a zero sum
Manoj Srinivasan1, Yang Wang, Alison Sheets
1Mechanical and Aerospace Engineering, The Ohio State University, Columbus, Ohio, United States of America.
Plos One
|November 16, 2013
Summary
Synchronized trampoline bounces can transfer significant energy, making one person jump much higher. This occurs when landings are timed precisely, especially when one person hits the trampoline at the other
Area of Science:
- Physics
- Biomechanics
- Game Theory
Background:
- Trampoline jumping is a popular recreational activity.
- Observed phenomena in trampoline games suggest energy transfer between participants.
- This energy transfer is particularly noticeable in games like "seat drop war".
Purpose of the Study:
- To investigate and demonstrate the energy transfer phenomenon in trampoline bouncing.
- To analyze the conditions under which maximal energy transfer occurs.
- To explore strategic interactions between participants aiming to maximize energy gain.
Main Methods:
- A table-top demonstration using two balls and a mini-trampoline to illustrate energy transfer.
- Development of a simple mathematical model for passive bouncing on a massless trampoline without dissipation.
- Game-theoretic analysis of a zero-sum game simulating strategic energy transfer between two players.
Main Results:
- A passive bouncing model demonstrated that all kinetic energy can be transferred between masses under specific landing conditions.
- Maximal energy transfer in human-like scenarios occurs when one person lands as the other reaches the bottom of their bounce.
- Game theory analysis revealed that in symmetric situations, the optimal strategy is to minimize leg extension, while asymmetry favors the higher-energy participant.
Conclusions:
- Precise timing of landings is crucial for significant energy transfer in trampoline bouncing.
- The phenomenon is robust and persists even with stiff surfaces.
- Synchronous bouncing is unstable, both in passive scenarios and when players employ strategic leg extension tactics.
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