A Lagrangian Dynamics Problem

deniz120

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]

vela

What specifically about the constraint is giving you problems?

You might find this page helpful:

http://www.slimy.com/~steuard/teachi....html#CalcVari

deniz120

unfortunately nothing, I guess there is nonholonomic constraint
thanks

vela

It's not a nonholonomic constraint.

You have only two coordinates, β and θ. How are they related?

deniz120

I guess you are right but that is the exact question that I m looking for the answer, how are they related:)

vela

Really? It's basic geometry. Consider the height of point B.