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The conservation of total energy is directly linked to the homogeneity of time in physics. Specifically, the fact that the laws of physics are the same at all times (time-translational invariance) leads to the conservation of energy. This means that if we repeat an experiment at a different time, we should get the same results. lagrange's equation from D'Alemberts principle 👇👇👇 • Lagrange's equation from D'Alemberts princ... lagrange's equation for simple pendulum 👇👇👇👇👇 • Lagrangian equation for simple pendulum ||... lagrange's equation for atwood machine 👇👇👇👇 • Atwood machine using lagrange's equation |... kinetics energy in terms of generalised coordinatate 👇👇👇👇 • Kinetic energy in terms of generalised coo... jacobi integral 👇👇👇👇 • Jacobi integral || classical mechanics Msc... jacobi integral in terms of kinetic energy 👇👇👇👇 • Jacobi integral in terms of kinetic energy... Homogeneity of space and conservation of linear momentum, lagragian 👇👇👇👇 • Homogeneity of space and conservation of l... isotropy of space and conservation of angular momentum , lagragian 👇👇👇👇 • Isotropy of space and conservation of angu... homogeneity of time and conservation of total energy , lagrangian 👇👇👇👇 • Homogeneity of time and conservation of to... invarienace of lagrangian under Galilean transformation 👇👇👇👇 • Invarienace of lagrangian under Galilean T... invarienace of lagrangian under Gauge transformation 👇👇👇👇 • Invarienace of lagrangian under Gauge tran... lagrange's equation from Hamilton's Principle 👇👇👇👇 • Lagrange's equation from Hamilton's Princi...