UA - ME 431: Lagrange's Equations, Example

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Non-conservative 2 degree-of-freedom system
  1. Dane Quinn
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Thanks for sharing! Great explanation!

fcvgarcia
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Hey, why have we ignored the Translation KE term // 0.5mx'^2 while solving for total kinetic energy

Alexander-qipc
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Good example, although, I was thinking that the potential energy associated to the second spring must be 1/2*k*(x2-x1)^2 not 1/2*k*(x2-2*x1)^2 as you indicated. I do really appreciate you elaborate more on that. Thanks!

eulerthegreatestofall
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Hi Dane,
Thank you for the great content you share—it's very helpful!
I’m currently working on a system involving a two-wheel tractor and need to derive its mathematical model using the Lagrange method. Despite multiple attempts and spending significant time on this, I’ve ended up with equations that don’t seem to make sense.
Could you please assist me with this? Any guidance would be greatly appreciated.

fayslmatar
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I know that this video is kind of old, but I just found your channel and I love your content.

One big doubt: Why for the kinetic energy you do not take into account the displacement of the discs? I mean, 0.5·m·v² plus the rotational energy.

Thanks!