Mechanics |
Contents
THE EQUATIONS OF MOTION | 1 |
4 The Lagrangian for a free particle | 7 |
CONSERVATION LAWS | 13 |
Copyright | |
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adiabatic invariant amplitude angle angular momentum angular velocity arbitrary constants axes of inertia axes x1 axis canonical transformation centre of mass closed system co-ordinates q coefficients collision components corresponding degrees of freedom depends Determine effective cross-section equations of motion expressed in terms external field external force formula frame of reference frequency friction function generalised co-ordinates given gives Hamilton-Jacobi equation Hamilton's equations Hamiltonian Hence homogeneous homogeneous function I₁ inertial frame interaction kinetic energy Lagrange's equations Lagrangian Landau law of conservation linear m₁ mechanical system molecule momenta obtain p₁ parameter path period perpendicular plane Poisson bracket position potential energy PROBLEMS PROBLEM quantities radius vector resonance respect result right-hand side rigid body rotation scattering small oscillations SOLUTION substituting symmetrical system of co-ordinates theoretical physics theory tion total time derivative variables vertical x-axis Z-axis zero