Description
The book clearly and concisely explains the basic principles of Lagrangian dynamicsand provides training in the actual physical and mathematical techniques of applying Lagrange’s equations, laying the foundation for a later study of topics that bridge the gap between classical and quantum physics, engineering, chemistry and applied mathematics, and for practicing scientists and engineers. McGraw-Hill authors represent the leading experts in their fields and are dedicated to improving the lives, careers, and interests of readers worldwide Background Material.Lagrange’s Equations of Motion of a Single Particle.Lagrange’s Equations of Motion for a System of Particles.Conservative Systems.Dissipative Forces.General Treatment of Moments and Products of Inertia.Lagrangian Treatment of Rigid Body Dynamics.The Euler Method of Rigid Body Dynamics.Small Oscillations about Positions of Equilibrium.Small Oscillations about Steady Motion.Forces of Constraint.Driving Forces Required to Establish Known Motions.Effects of Earth’s Figure and Daily Rotation on Dynamical Problems.Application of Lagrange’s Equations to Electrical and Electromechanical Systems.Hamilton’s Equations of Motion.Hamilton’s Principle.Basic Equations of Dynamics in Vector and Tensor Notation.Appendix: Relations between Direction Cosines.
