Mechanics: Volume 1, Volume 1Devoted to the foundation of mechanics, namely classical Newtonian mechanics, the subject is based mainly on Galileo's principle of relativity and Hamilton's principle of least action. The exposition is simple and leads to the most complete direct means of solving problems in mechanics.The final sections on adiabatic invariants have been revised and augmented. In addition a short biography of L D Landau has been inserted. |
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adiabatic invariant amplitude angle angular momentum angular velocity axes of inertia axes x1 axis canonical transformation centre of mass 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 parameter path period perpendicular plane Poisson bracket position potential energy principal axes 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