Recent content by PhysicsLama
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Undergrad Derivation of Hamilton's Principle: Questions
Thanks for your explanation I have finally understood it now :)- PhysicsLama
- Post #20
- Forum: Mechanics
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Undergrad Derivation of Hamilton's Principle: Questions
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...- PhysicsLama
- Post #18
- Forum: Mechanics
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Undergrad Derivation of Hamilton's Principle: Questions
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...- PhysicsLama
- Post #12
- Forum: Mechanics
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Undergrad Derivation of Hamilton's Principle: Questions
Okay thanks for the time. Do you have any names for those classical texts?- PhysicsLama
- Post #7
- Forum: Mechanics
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Undergrad Derivation of Hamilton's Principle: Questions
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...- PhysicsLama
- Post #5
- Forum: Mechanics
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Undergrad Derivation of Hamilton's Principle: Questions
Do you know where that equation came from?- PhysicsLama
- Post #3
- Forum: Mechanics
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Undergrad Derivation of Hamilton's Principle: Questions
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...- PhysicsLama
- Thread
- Hamilton's principle Lagranage Least action
- Replies: 19
- Forum: Mechanics