from 東大1S力学A Energy Integration
- p44
- The result of integration corresponds to the Law of Conservation of Energy.
- By integrating the equations of motion, we obtain a constant term E.
- Ah, I see. So it seems that the conservation of energy can be derived from this, huh? (blu3mo)
- That’s amazing.
- Ah, I see. So it seems that the conservation of energy can be derived from this, huh? (blu3mo)
- By integrating the equations of motion, we obtain a constant term E.
- https://manabitimes.jp/math/1260
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On the other hand, the conservation laws of momentum, energy, and angular momentum (taught in university physics) are not principles but “theorems” that can be derived from the equations of motion (and the law of action and reaction).
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- https://physnotes.jp/mechanics/sho_e/#i-2
- https://www.kem3.com/esrp/Lecture/Mech/Simplependulum/Spendulum.html
- Understanding this should be helpful.