How Do You Apply Lagrange Multipliers to a Rolling Disk and Fixed Bar System?

deniz120
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Homework Statement



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

[PLAIN]http://img130.imageshack.us/img130/1669/adsziss.jpg
By deniz120 at 2010-05-31


Homework Equations





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:)

[PLAIN]http://img263.imageshack.us/img263/3659/tarama0001r.jpg
By deniz120 at 2010-05-31]
 
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unfortunately nothing, I guess there is nonholonomic constraint
thanks
 
It's not a nonholonomic constraint.

You have only two coordinates, β and θ. How are they related?
 
I guess you are right but that is the exact question that I m looking for the answer, how are they related:)
 
Really? It's basic geometry. Consider the height of point B.
 

Thread 'Modeling a graph that shows age in relation to depth of an ice sample'

To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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