A Lagrangian Dynamics Problem


by deniz120
Tags: dynamics, equation, lagrange, lagrangian, multiplier
deniz120
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#1
May31-10, 11:46 AM
P: 8
1. The problem statement, all variables and given/known data

Hi all, I need to derive differantial equations of system with lagrange multiplier method, a disk is rolling and a bar is fixed onto the point of a disk


By deniz120 at 2010-05-31


2. Relevant equations



3. The attempt at a solution
please check my solution below, I derived T and V for Lagrange, all I need is help for constaints, lagrange multiplier equation. Thanks in advance:)


By deniz120 at 2010-05-31]
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vela
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#2
May31-10, 01:38 PM
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PF Gold
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What specifically about the constraint is giving you problems?

You might find this page helpful:

http://www.slimy.com/~steuard/teachi....html#CalcVari
deniz120
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#3
May31-10, 01:43 PM
P: 8
unfortunately nothing, I guess there is nonholonomic constraint
thanks

vela
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#4
May31-10, 02:44 PM
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PF Gold
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A Lagrangian Dynamics Problem


It's not a nonholonomic constraint.

You have only two coordinates, β and θ. How are they related?
deniz120
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#5
May31-10, 04:47 PM
P: 8
I guess you are right but that is the exact question that I m looking for the answer, how are they related:)
vela
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#6
May31-10, 06:06 PM
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PF Gold
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Really? It's basic geometry. Consider the height of point B.


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