Classical Hamiltonian mechanics and Energy
Classical Mechanics and Relativity: Lecture 11 Theoretical physicist Dr Andrew Mitchell presents an undergraduate lecture course on Classical Mechanics and Relativity at University College Dublin. This is a complete and self-contained course in which everything is derived from scratch. In this lecture I introduce classical Hamiltonian mechanics. We obtain the Hamiltonian from the Lagrangian via a Legendre transformation, and derive Hamilton's equations of motion. The relation between the Hamiltonian and the energy is explored, and conservation of energy is discussed. Examples are given for both scleronomic and non-scleronomic systems. Full lecture course playlist: • Classical Mechanics and Relativity lecture... Course textbooks: "Classical Mechanics" by Goldstein, Safko, and Poole "Classical Mechanics" by Morin "Relativity" by Rindler
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The Principle of Least Action
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Lagrangian Mechanics: Using Lagrange Multipliers to Find Forces of Constraint
