Recent content by Hari Seldon

  1. Hari Seldon

    A Deriving Navier-Stokes: Lagrangian & Hamiltonian Methods

    Hello, thank you for your reply. Yes, I tried to Google it, but I didn't find what I wanted. I expected an approach like, for example, estabilish the generalized coordinates, calculate the kinetic energy and so on. Finally, that is why I wrote here, I tought that maybe I was thinking in a wrong way.
  2. Hari Seldon

    A Deriving Navier-Stokes: Lagrangian & Hamiltonian Methods

    Is that possible to derive the Navier-Stokes equations with Lagrangian and Hamiltonian methods? If yes, how? and if it is not possible, why?
  3. Hari Seldon

    Watt Rotational Speed Regulator's Lagrangian

    Perfect! So given the following coordinates of the two masses: $$x_{1}=l\sin{\theta}\sin{\varphi}~~~x_{2}=-l\sin{\theta}\sin{\varphi}$$ $$y_{1}=l\sin{\theta}\cos{\varphi}~~~y_{2}=-l\sin{\theta}\cos{\varphi}$$ $$z_{1}=l\cos{\theta}~~~~~z_{2}=l\cos{\theta}$$ We can calculate the derivative of them...
  4. Hari Seldon

    Watt Rotational Speed Regulator's Lagrangian

    Thank you very much for your help! Yes, I was adding instead then projecting. So the coordinates should be the following? $$ x_{1}=l\sin{\theta}\sin{\varphi}$$ $$ y_{1}=l\cos{\theta}\cos{\varphi}$$ $$ x_{2}=-l\sin{\theta}\sin{\varphi}$$ $$ y_{2}=l\cos{\theta}\cos{\varphi}$$ Do I need also...
  5. Hari Seldon

    Watt Rotational Speed Regulator's Lagrangian

    I understand that it is a system with two degrees of freedom. And I chose as generalized coordinates the two angles shown in the pic I posted. I am having troubles in finding the kinetic energy of this system, cause the book tells me that the kinetic energy is something different then what I...
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