Friday, November 7, 2014

EJSS primary school pendulum energy model

EJSS primary school pendulum energy model.
i have lost dropbox public folder and is unable to supply run-able links now.
run: Link1, Link2
download: Link1, Link2
source: Link1, Link2
author: Anne Cox, lookang
author EJS: Francisco Esquembre
MODEL standalone:
author: lookang, anne cox
author of EJSS 5.0 Francisco Esquembre


  2. by Anne Cox.

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

this model assumes

$ \frac{\delta \theta}{\delta t} = \omega $

$ \frac{\delta \omega}{\delta t} = -\frac{g}{L}( sin \theta)  $

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-y_{o}) = mgh $

where the terms
$ PE $ represents potential energy of the mass m

$ y_{o} $ 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 = \frac{1}{2}mv^{2} $

$ 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.