EJSS primary school pendulum energy model

http://weelookang.blogspot.sg/2014/11/ejss-primary-school-pendulum-energy.html
MODEL standalone: https://www.dropbox.com/s/20lc16lg3i2z25a/ejss_model_SHMxvapendulumpri.zip?dl=0
run: https://dl.dropboxusercontent.com/u/44365627/lookangEJSworkspace/export/ejss_model_SHMxvapendulumpri/SHMxvapendulumpri_Simulation.xhtml
source: https://www.dropbox.com/s/675lfmdwur52m7p/ejss_src_SHMxvapendulumpri.zip?dl=0
author: lookang, anne cox
author of EJSS 5.0 Francisco Esquembre

reference:


  1. http://weelookang.blogspot.sg/2014/02/ejss-pendulum-model.html
  2. http://academics.eckerd.edu/physics/EJS/Physical_Sci/Energy/ejss_model_pendulum_energy.zip by Anne Cox.



The equations that model the motion of the pendulum system are:

this model assumes

δθδt=ω


δωδt=−gL(sinθ)

where the terms

L represents the fixed length of the pendulum 

g represents the gravity force component as a result of Earth's pull.



Energy Equations:

this model uses

PE=mg(y−yo)=mgh

where the terms
PE represents potential energy of the mass m

yo represents the lowest point of the oscillation to facilitate conventions of positive values of PE.

y represents the vertical height of the mass m

KE=12mv2

KE represents kinetic energy of the mass m

v represents the velocity of the mass m

TE=PE+KE


TE represents the total energy of the mass m.

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Labels: ejss NEWTONIAN MECHANICS