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Easy Java Simulations (2001- ) => dynamics => Topic started by: ahmedelshfie on December 06, 2010, 04:39:26 pm



Title: Pendulum sets with different initial angle plus damping
Post by: ahmedelshfie on December 06, 2010, 04:39:26 pm
This applet Created by prof Hwang, modified by Ahmed.
Original applet Pendulum sets with different initial angle plus damping (http://www.phy.ntnu.edu.tw/ntnujava/index.php?topic=2010)
This simulation show 11 pendulums with different initial angle(from minimum angle to minimum angle+angle range)
It can be run in two different modes:
1. $\frac{d^2\theta}{dt}=-\frac{\ell}{g}\sin\theta-b\frac{d\theta}{dt}$ (equation for real pendulum)
2. $\frac{d^2\theta}{dt}\approx-\frac{\ell}{g}\theta-b\frac{d\theta}{dt}$ (equation for small angle approximation :assume $\sin\theta\approx\theta)$

The damping factor b=0 is the default.
You can change it and find out what will happened.
For the second mode: the period and damping factor are the same for all pendulums. Do you know why?