Classical Mechanics

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Tata McGraw-Hill Education, Feb 1, 2001
 

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Marvelous!! outstanding!! Changed my whole perspective of classical mechanics! Kudos to the authors

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Outstanding . An appropriate presentation of physics .

Contents

Introduction
1
Constrained Motions in Cartesian Coordinates
31
Lagrangian Formulation in Generalised Coordinates
55
generalised coordinate transformations
73
Rotating Frames of Reference
96
Central Force
118
Hamiltons Equations of Motion
180
Principle of Least Action and Hamiltons Principle
198
Vectors in orthogonal curvilinear coordinate systems
547
Vectors in general curvilinear coordinates
551
Appendix A3 Tensors
554
Tensors
558
Appendix B Sample of Short Questions
564
Class test II
565
Class test III
567
Class test IV
568

Brachistochrones Tautochrones and the Cycloid Family
222
Canonical Transformations
236
The Poisson Bracket
262
HamiltonJacobi Theory
276
Small Oscillations
311
Rigid Body Dynamics
335
Elasticity
447
Fluid Dynamics
476
Appendix Al Coordinate Frames
525
Appendix A2 Vector Calculus
534
Partial differentiation of vectors and scalars
536
Ordinary differentiation of vectors
537
Vector integration
538
Tangent principal normal and binormal of orbits
540
Kinematics of particle motion
543
Kinematics in spherical polar and other coordinate frames
545
Final examination
569
Hints and Answers to Selected Problems
572
Chapter 1
575
Chapter 3
577
Chapter 5
579
Chapter 6
580
Chapter 10
582
Chapter 11
583
Chapter 12
584
Chapter 13
585
Chapter 14
586
Physical Constants
588
Bibliography
590
Index
594
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