Recent content by PhysicsLama

  1. PhysicsLama

    Undergrad Where does the term in Hamilton's principle derivation come from?

    Thanks for your explanation I have finally understood it now :)
  2. PhysicsLama

    Undergrad Where does the term in Hamilton's principle derivation come from?

    Ah okay, so basically Lagranges Equations originally come from d'alemberts Principle and not from the Hamilton Principle, the Hamilton Principle is only a consequence of Lagranges Interpretation of Mechanics? Have I understood that right, therefore the Hamilton Principle is always just given...
  3. PhysicsLama

    Undergrad Where does the term in Hamilton's principle derivation come from?

    Okay thanks guys I think I have undertstood better now. But do you have any Papers or Books where I specificely could read something directly about how to derive Hamiltons Principle, so how to derive that ##\delta \int L \; dt## (A), not how to get from Hamiltons Principle to the equations of...
  4. PhysicsLama

    Undergrad Where does the term in Hamilton's principle derivation come from?

    Okay thanks for the time. Do you have any names for those classical texts?
  5. PhysicsLama

    Undergrad Where does the term in Hamilton's principle derivation come from?

    Thanks for your answer. Now the thing I do not understand is how to even derive the LHS from equation (4) (in the paper). Even if we look at your explanation we still take the Hamilton Principle ##\delta \int L \; dt = 0## for granted and just put in equation (4). But to derive the Hamilton...
  6. PhysicsLama

    Undergrad Where does the term in Hamilton's principle derivation come from?

    Do you know where that equation came from?
  7. PhysicsLama

    Undergrad Where does the term in Hamilton's principle derivation come from?

    I have recently been really interested in the derivation of Hamiltons Principle. On my research I found that with the term ##m \cdot \frac{d}{dt} (\frac{dr}{dt} \cdot \delta r) = 0## (1) one may derivate ##\delta \int (T - V) dt = 0## (2). The derivation itself I understood quiet good, but what...