Mechanics |
Contents
3 Galileos relativity principle | 5 |
5 The Lagrangian for a system of particles | 11 |
8 Centre of mass | 17 |
Copyright | |
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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 components corresponding degrees of freedom depends Determine effective cross-section equations of motion external field external force forced oscillations 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 kinetic energy Lagrange's equations Lagrangian law of conservation least action linear m₁ mechanical system molecule momenta obtain p₁ parameter parametric resonance particle path perpendicular plane Poisson bracket position potential energy principal axes principle of least PROBLEMS PROBLEM quantities radius vector resonance respect right-hand side rigid body rotation small oscillations SOLUTION substituting symmetrical system of co-ordinates total time derivative variables vertical x-axis Z-axis zero