Berichten geplaatst door rhode

Hello Matthijs,

Thank you very much for your quick response!
It helped us enormously!

If we'll have any other questions, we'll let you know!

Kind regards,
Melissa and Rhodé

Hello,

We are Melissa and Rhodé; we are in the sixth grade of bilingual VWO at Lyceum Oudehoven in Gorinchem. We are doing our PWS (in English) on balls bouncing on a trampoline. We are looking into resonance, the interaction of forces and energy transfer. We've made graphs of the movements of the balls, the person who jumps on the trampoline and the trampoline mat, using Coach and Excel. Furthermore we are planning to make a model in Coach.

We came across a relevant source called "People Bouncing on Trampolines: Dramatic Energy Transfer, a Table-Top Demonstration, Complex Dynamics and a Zero Sum Game” , however we do have some questions about the mathematical formulas. The source is:

http://journals.plos.org/plosone/article?id=10.1371/journal.pone.0078645

Unfortunately we could not upload a file, so we have to describe it here: the formulas on the vertical movement of the masses and the energy in the spring are the ones that we do not fully understand. So everything under the heading: "A mathematical model: passive bouncing of two masses" , so only 2 times 4 formulas.

Could you explain the formulas and how they are derived?

Thank you in advance!

Kind regards,
Melissa and Rhodé