Analytical mechanics : solutions to problems in classical physics /: solutions to problems in classical physics. (2014)

• Record Type: Book
• Further Information: Note: Ioan Merches, Daniel Radu.
• Authors: Merches, Ioan; Radu, Daniel
• Contents: Fundamentals of Analytical Mechanics ; Constraints; Classification Criteria for Constraints; The Fundamental Dynamical Problem for a Constrained Particle; System of Particles Subject to Constraints; Lagrange Equations of the First Kind ; Elementary Displacements; Generalities; Real, Possible and Virtual Displacements ; Virtual Work and Connected Principles; Principle of Virtual Work; Principle of Virtual Velocities; Torricelli’s Principle ; ; Principles of Analytical Mechanics; D’alembert’s Principle; Configuration Space; Generalized Forces; Hamilton’s Principle; ; The Simple Pendulum Problem; Classical (Newtonian) Formalism; Lagrange Equations of the first Kind Approach; Lagrange Equations of the Second Kind Approach; Hamilton’s Canonical Equations Approach; Hamilton-Jacobi Method; Action-Angle Variables Formalism; ; Problems Solved by Means of the Principle of Virtual Work; ; Problems of Variational Calculus; Elements of Variational Calculus; Functionals. Functional Derivative; Extrema of Functionals ; Problems whose solutions demand elements of variational calculus; Brachistochrone problem; Catenary problem; Isoperimetric problem; Surface of revolution of minimum area; Geodesics of a Riemannian manifold; ; Problems Solved by Means of the Lagrangian Formalism; Atwood machine; Double Atwood Machine; Pendulum with Horizontally Oscillating Point of Suspension; Problem of Two Identical Coupled Pendulums; Problem of Two Different Coupled Pendulums; Problem of Three Identical Coupled Pendulums; Problem of Double Gravitational Pendulum; ; Problems of Equilibrium and Small Oscillations; ; Problems Solved By Means of the Hamiltonian Formalism; ; Problems of Continuous Systems; A. Problems of Classical Electrodynamics; B. Problems of Fluid Mechanics; C. Problems of Magnetofluid Dynamics and Quantum Mechanics; ; APPENDICES; REFERENCES;
• Edition: 1st
• Publisher Details: Boca Raton : CRC Press
• Publication Date: 2014
• Extent: 1 online resource, illustrations (black and white)
• Subjects: 531.01515; Mechanics, Analytic -- Problems, exercises, etc; Mechanics, Analytic
• Languages: English
• ISBNs: 9781482239423; 9781482239409; 9781482239416
• Related ISBNs: 9781482239393
• Notes: Note: Includes bibliographical references and index.; Note: Description based on CIP data; item not viewed.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.