Mechanics |
Contents
3 Galileos relativity principle | 5 |
CONSERVATION LAWS | 11 |
9 Angular momentum | 19 |
Copyright | |
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Common terms and phrases
amplitude angle angular momentum angular velocity arbitrary constants axes of inertia axes x1 axis called canonical transformation centre of mass closed system co-ordinates q coefficients components corresponding degrees of freedom depends Determine effective cross-section ellipse 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 momenta obtain p₁ parameter parametric resonance 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 system of co-ordinates total time derivative variables x-axis Z-axis zero