Coffee cup pendulum (demonstration and simulation)

[Fu-Kwun Hwang]

http://www.youtube.com/watch?v=XSFXzL4vCPg


The following is a simulation for the above case.

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<applet code='users.ntnu.fkh.ballsFalling_pkg.ballsFallingApplet.class' archive='http://www.phy.ntnu.edu.tw/ntnujava/ejsuser/2/ejs_ballsFalling.jar' name='ballsFalling10041' id='ballsFalling10041' width='536' height='470' mayscript=true><param name='draggable' value='true'></applet>
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<a href='http://www.phy.ntnu.edu.tw/ntnujava/msg.php?smfejs=10041' target='smfejs'>Run simulation</a>

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 Lagrangian's equation of motion L = T - U


 with

and


We will get the following equations