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2. Theoretical and applied mechanics [2023]
 Molotnikov, Valentin, author.
 Cham : Springer, [2023]
 Description
 Book — 1 online resource (xxviii, 684 pages) : illustrations (some color)
 Summary

 Statics. Kinematics. Dynamics. Theory of impact. Elements of analytic mechanics. Dynamics of controlled systems. Stability of mechanical systems. Basic concepts. Structural analysis of mechanisms. Kinematic analysis of mechanisms. Dynamic analysis of mechanisms. Initial concepts and definitions. Calculation of parts in tensioncompression. Tense state. Strength theories. Shear and torsion. Bending. Combined strength. General theorems of mechanics. Taking into account the forces of inertia. Fatigue resistance. Stability of compressed rods. General information about machine design. Precision manufacturing of machine parts. Mechanical transmission. Shaft and Axle. Shaft and Axle Supports. Couplings. Connections of parts and units of machines. Body parts of machines and mechanisms. Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Ilisie, Victor, author.
 Cham, Switzerland : Springer, 2020.
 Description
 Book — 1 online resource (xiv, 359 pages) : illustrations
 Summary

 Intro
 Preface
 Acknowledgements
 Contents
 1 Vector Analysis in Cartesian Coordinates
 1.1 Introduction
 1.2 Operations with Vectors
 1.3 Vector Operators
 1.4 Change of Basis
 1.5 Proposed Exercises
 Further Reading
 2 Vector Analysis in Curvilinear Coordinates
 2.1 Introduction
 2.2 Vector Operators
 2.3 Cylindrical and Polar Coordinates
 2.4 Spherical Coordinates
 2.5 Proposed Exercises
 Further Reading
 3 Kinematics
 3.1 Velocity and Acceleration
 3.2 Frenet Equations
 3.3 Proposed Exercises
 Further Reading
 4 Newton's Laws, Dynamics and Galilean Relativity
 4.1 Newton's Laws
 4.2 Conservative and Central Forces
 4.2.1 Gravitational Potential
 4.3 Force, Energy, Work, and Energy Conservation
 4.3.1 Conservative Forces
 4.3.2 Conservative and Nonconservative Forces
 4.4 Angular Momentum, Torque and Conservation
 4.5 Galilean Relativity and Inertial Reference Frames
 4.6 Proposed Exercises
 Further Reading
 5 Systems of Particles and Variable Mass
 5.1 PointLike Particle Systems
 5.2 Variable Mass Systems
 5.3 Proposed Exercises
 Further Reading
 6 OneDimensional Potentials and TwoDimensional Central Potentials
 6.1 OneDimensional Potentials
 6.2 Central Potentials
 6.2.1 The TwoBody Problem
 6.3 Kepler's Potential
 6.4 Proposed Exercises
 Further Reading
 7 Non Relativistic Collisions
 7.1 Frontal Collisions
 7.1.1 Elastic Collisions in the Center of Mass
 7.1.2 Elastic Collisions in the Laboratory Frame
 7.1.3 Relating Both Frames
 7.1.4 Inelastic Collisions
 7.2 Scattering by a Hard Sphere
 7.3 Scattering by a Repulsive Potential
 7.4 Proposed Exercises
 Further Reading
 8 Continuous Mass Distributions. Gravitational Potential and Field
 8.1 Introduction
 8.2 Potentials with Spherical Symmetry
 8.3 Gravitational Field and Gauss's Law
 8.4 Gauss's Law for Spherical Mass Distributions
 8.5 Proposed Exercises
 Further Reading
 9 Noninertial Reference Systems
 9.1 Velocity and Angular Velocity
 9.1.1 The Heuristic Approach
 9.2 Motion over the Earth's Surface
 9.3 Free Fall
 9.4 Foucault's Pendulum
 9.5 Proposed Exercises
 Further Reading
 10 Rigid Body Dynamics
 10.1 Discrete Case
 10.1.1 Principal Axes
 10.1.2 HuygensSteiner Theorem
 10.2 Continuum Generalization
 10.3 Stable Solutions for the TorqueFree Motion
 10.3.1 Earth's Precession
 10.4 Free Symmetric Spinning Top
 10.5 Heavy Symmetric Spinning Top
 10.6 Proposed Exercises
 Further Reading
 11 Special Theory of Relativity
 11.1 Introduction
 11.2 LorentzPoincaré Transformations
 11.3 Velocity Addition Rules
 11.4 Minkowski SpaceTime and FourVectors
 11.4.1 Covariant and Contravariant Transformations
 11.4.2 Summary
 11.5 FourVelocity, Acceleration and Force
 11.5.1 Massless Particles
 London : ISTE, Ltd. ; Hoboken : John Wiley & Sons, Incorporated, 2020.
 Description
 Book — 1 online resource (271 pages)
 Summary

 Introduction xi
 Part 1. Plastic Deformation of Crystalline Materials 1
 Chapter 1. Homogeneous Dislocation Nucleation in Landau Theory of Crystal Plasticity 3 Oguz Umut SALMAN and Roberta BAGGIO
 1.1. Introduction 3
 1.2. The model 6
 1.2.1. Linear stability analysis 9
 1.3. Numerical implementation 11
 1.4. Simulation results 12
 1.4.1. Stress field of a singleedge dislocation 12
 1.4.2. Dislocation annihilation 13
 1.4.3. Homogeneous nucleation 14
 1.5. Conclusion 18
 1.6. References 18
 Chapter 2. Effects of Rate, Size, and Prior Deformation in Microcrystal Plasticity 25 Stefanos PAPANIKOLAOU and Michail TZIMAS
 2.1. Introduction 25
 2.2. Model 27
 2.3. Effects of loading rates and protocols in crystal plasticity 29
 2.4. Size effects in microcrystal plasticity 36
 2.5. Unveiling the crystalline prior deformation history using unsupervised machine learning approaches 38
 2.6. Predicting the mechanical response of crystalline materials using supervised machine learning 43
 2.7. Summary 48
 2.8. Acknowledgements 49
 2.9. References 49
 Chapter 3. Dislocation Dynamics Modeling of the Interaction of Dislocations with Eshelby Inclusions 55 Sylvie AUBRY, Sylvain QUEYREAU and Athanasios ARSENLIS
 3.1. Introduction 55
 3.2. Review of existing approaches 57
 3.2.1. Modeling discrete precipitates with DD simulations 57
 3.2.2. Investigation of precipitation strengthening and some related effects 61
 3.3. Dislocation dynamics modeling of dislocation interactions with Eshelby inclusions 63
 3.3.1. Stress field and forces at dislocation lines 63
 3.3.2. Stress at a point induced by an inclusion 64
 3.3.3. Force on a dislocation coming from an inclusion 64
 3.3.4. Far field interactions induced by an Eshelby inclusion 68
 3.3.5. Parallel implementation 68
 3.4. DD simulations of the interaction with Eshelby inclusions 69
 3.4.1. Eshelby force for a single dislocation and a single inclusion 69
 3.4.2. Simulations of bulk crystal plasticity 70
 3.5. Conclusion and discussion 77
 3.6. Acknowledgments 79
 3.7. Appendix: derivation of the Eshelby force 80
 3.8. References 82
 Chapter 4. Scale Transition in Finite Element Simulations of HydrogenPlasticity Interactions 87 Yann CHARLES, Hung Tuan NGUYEN, Kevin ARDON and Monique GASPERINI
 4.1. Introduction 87
 4.2. Modeling assumptions 92
 4.2.1. Crystal plasticity mechanical behavior 92
 4.2.2. Hydrogen transport equation 93
 4.2.3. Implementation 95
 4.2.4. Mechanical parameters 96
 4.3. Identification of a trap density function at the crystal scale 97
 4.3.1. Geometry, mesh, and boundary conditions applied on the polycrystals 98
 4.3.2. Results 100
 4.4. Adaptation of the Dadfarnia's model at the crystal scale 104
 4.4.1. Formulation at the polycrystal scale 104
 4.4.2. Application to single crystals 106
 4.4.3. Boundary and initial conditions 107
 4.4.4. Crystal orientations 108
 4.4.5. Results 108
 4.4.6. Consequences on hydrogen transport through a polycrystalline bar 113
 4.5. Conclusion 118
 4.6. Appendix: Numbering of the slip systems in the UMAT 118
 4.7. References 119
 Part 2. Mechanics and Physics of Soft Solids 131
 Chapter 5. Compression of Fiber Networks Modeled as a Phase Transition 133 Prashant K. PUROHIT
 5.1. Introduction 133
 5.2. Experimental observations in compressed fibrin clots and CNT forests 134
 5.2.1. Compression of plateletpoor plasma clots and plateletrich plasma clots 134
 5.2.2. Compression of CNT forests coated with alumina 138
 5.3. Theoretical model based on continuum theory of phase transitions 141
 5.3.1. Compression of PPP and PRP clots 141
 5.3.2. Phase transition theory 143
 5.3.3. Effect of liquid pumping 145
 5.3.4. Application of phase transition model to PPP and PRP clots 146
 5.3.5. Predictive capability of our model 148
 5.3.6. Application of phase transition model to CNT networks 148
 5.4. Conclusion 151
 5.5. References 153
 Chapter 6. Mechanics of Random Networks of Nanofibers with InterFiber Adhesion 157 Catalin R. PICU and Vineet NEGI
 6.1. Introduction 157
 6.2. Mechanics in the presence of adhesion 160
 6.2.1. The adhesive interaction of two fibers 160
 6.2.2. Triangle of fiber bundles 163
 6.3. Structure of noncrosslinked networks with interfiber adhesion 165
 6.4. Tensile behavior of noncrosslinked networks with interfiber adhesion 169
 6.5. Structure of networks with interfiber adhesion and crosslinks 171
 6.6. Tensile behavior of crosslinked networks with interfiber adhesion 173
 6.7. Conclusion 179
 6.8. References 180
 Chapter 7. Surface Effects on Elastic Structures 185 Hadrien BENSE, Benoit ROMAN and Jose BICO
 7.1. Introduction 185
 7.2. Liquid surface energy 186
 7.2.1. Can a liquid deform a solid? 186
 7.2.2. Slender structures 187
 7.2.3. Wrapping a cylinder 188
 7.2.4. Capillary origamis 190
 7.3. Dielectric elastomers: a surface effect? 192
 7.3.1. Introduction: electrostatic energy of a capacitor as a surface energy 192
 7.3.2. Mechanics of dielectric elastomers 194
 7.3.3. Buckling experiments 202
 7.4. Conclusion 209
 7.5. References 210
 Chapter 8. Stressdriven Kirigami: From Planar Shapes to 3D Objects 215 Alexandre DANESCU, Philippe REGRENY, Pierre CREMILIEU and JeanLouis LECLERCQ
 8.1. Introduction 215
 8.2. Bilayer plates with prestress 216
 8.3. Constant curvature ribbons and geodesic curvature 219
 8.3.1. Experimental evidence 220
 8.3.2. Geodesic objects 222
 8.4. Directional bending of large surfaces 223
 8.4.1. Photonic crystals tubes 224
 8.4.2. Control the directional bending 225
 8.5. Conclusion 227
 8.6. References 227
 Chapter 9. Modeling the Mechanics of Amorphous Polymer in the Glass Transition 231 Helene MONTES, Aude BELGUISE, Sabine CANTOURNET and Francois LEQUEUX
 9.1. Introduction 231
 9.2. Modeling the mechanics of amorphous 233
 9.2.1. Input physics 233
 9.2.2. Temperature dependence of the intrinsic relaxation times 235
 9.2.3. Length scales in the model 236
 9.2.4. Numerical implementation 237
 9.3. Linear regime in bulk geometry 239
 9.3.1. Stress relaxation 239
 9.3.2. Numerical predictions versus experiments in the linear regime 240
 9.3.3. Role of elastic coupling between domains 241
 9.4. Linear regime in confined geometries 244
 9.4.1. Apparent linear viscoelasticity in various geometries 244
 9.4.2. Comparison of the results of our model with the observation of Tg shift in filled elastomers 247
 9.4.3. Role of mechanical coupling in confined geometry 250
 9.4.4. Conclusion on the effects of confinement 252
 9.5. Nonlinear mechanics 253
 9.5.1. Input of nonlinearities 254
 9.5.2. Results of the model 255
 9.5.3. Role of elastic coupling in the nonlinear regime 256
 9.6. Conclusion 257
 9.7. Appendix 258
 9.8. References 259
 List of Authors 263
 Index 267.
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(source: Nielsen Book Data)
5. Meccanica dei continui [2019]
 Forte, Sandra, author.
 Milano, Italia : Springer, 2019.
 Description
 Book — 1 online resource (xii, 486 pages) : illustrations
 Summary

 Intro; Meccanica dei Continui; Prefazione; Indice; Capitolo
 1: Corpi e deformazioni; 1.1 Gradiente di deformazione e gradiente di spostamento; 1.1.1 Il gradiente di spostamento; 1.2 Deformazioni omogenee; 1.2.1 Traslazioni; 1.2.2 Deformazioni omogenee con un punto sso; 1.2.3 Rototraslazioni e rotazioni; 1.2.4 Deformazioni pure; 1.3 Tensori di CauchyGreen; 1.3.1 Stiramenti e deformazioni longitudinali; 1.3.2 Angoli di scorrimento; 1.3.3 Stiramenti e direzioni principali; 1.3.4 Il tensore di GreenSaintVenant; 1.4 Il tensore di Finger; 1.4.1 Il tensore di Almansi
 1.5 Variazione di volume e deformazioni isocore1.5.1 Integrali di volume su B e B*; 1.6 Variazione d'area e formula di Nanson; 1.6.1 La trasformazione di Piola; 1.6.2 La trasformazione di Piola per campi tensoriali; 1.7 Deformazioni in nitesime; 1.7.1 Il tensore di deformazione; 1.7.2 Deformazioni nite e in nitesime; 1.7.3 Stiramenti; 1.7.4 Angoli di scorrimento; 1.7.5 Variazione di volume; 1.7.6 Considerazioni conclusive e riassuntive; 1.8 Esercizi e complementi; Capitolo
 2: Moti; 2.1 Velocità e accelerazione; 2.2 Campi spaziali e campi materiali; 2.3 Cambiamento di descrizione
 2.3.1 Gradiente spaziale e gradiente materiale2.3.2 Gradienti spaziali e materiali di velocità e accelerazione; Divergenza della velocità e derivata temporale di J; 2.3.3 Derivate temporali parziali e totali; 2.4 Linee di corrente, linee di usso e linee di fumo; 2.4.1 Linee di corrente; 2.4.2 Linee di usso; 2.4.3 Linee di fumo; 2.4.4 Campi e moti stazionari; 2.5 Curve e super ci materiali; 2.6 Velocità di propagazione e di avanzamento di una super cie; 2.7 Moto rigido e velocità angolare; 2.8 Velocità di deformazione e tensore di vorticità
 2.9 Tensore di vorticità, rotore della velocità e vorticità2.10 Proprietà del tensore velocità di deformazione; 2.10.1 Velocità di stiramento; 2.10.2 Velocità di scorrimento; 2.11 Il campo spaziale dell'accelerazione; 2.12 Velocità di variazione del volume e moti isocori; 2.13 Integrale di volume di un campo spaziale; 2.14 Campi vettoriali con linee integrali materiali; 2.14.1 Linee di corrente materiali; 2.15 Derivate di integrali di linea e di ussi; 2.15.1 Integrali di linea; 2.15.2 Circuitazione della velocità; 2.15.3 Derivata temporale di un usso
 2.15.4 Equazione di evoluzione della vorticità e linee vorticose2.15.5 Una deduzione dell'equazione di evoluzione della vorticità; 2.16 Super ci e tubi vorticosi; 2.17 La condizione di D'AlembertEulero e i moti potenziali; 2.18 Esercizi e complementi; Capitolo
 3: Leggi di bilancio, sforzi e disuguaglianza entropica; 3.1 Massa e densità; 3.1.1 La derivata temporale di un integrale rispetto alla massa; 3.2 Forze esterne di volume e di super cie; 3.2.1 Forze di volume; 3.2.2 Forze di contatto; 3.3 Interazioni fra le parti e ipotesi di Cauchy; 3.4 Teoremi di Cauchy per campi scalari e vettoriali
6. Advanced classical mechanics [2017]
 Bagchi, Bijan Kumar, author
 Boca Raton : CRC Press, [2017]
 Description
 Book — 1 online resource
 Summary

 Conceptual Basis of Classical mechanics. Virtual Work and D'Alembert's Principle. Lagrangian Systems. Rotating Frames. Hamiltonian Systems. Small Oscillations. Phase Space Flows. Action Principles. Symmetries and Conservation Laws. Canonical Transformations. Introduction to Dynamical Systems. Special Theory of Relativity.
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 Hentschke, Reinhard.
 Cham, Switzerland : Springer, 2017.
 Description
 Book — 1 online resource Digital: text file; PDF.
 Summary

 Mathematical Tools. Laws of Mechanics. Least Action for One Coordinate. Principle of Least Action. Integrating Equations of Motion. RigidBody Motion. Canonical Mechanics. ManyParticle Mechanics. Theory of Elasticity.
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(source: Nielsen Book Data)
 Raine, Derek, author.
 Dulles, Virginia : Mercury Learning and Information, [2017]
 Description
 Book — 1 online resource (xii, 308 pages).
 Summary

Newtonian mechanics is taught as part of every physics program for several reasons. It is a towering intellectual achievement; it has diverse applications; and it provides a context for teaching modelling and problem solving. This text gives equal prominence to all three missions. It therefore includes some advanced material as well as the customary introductory topics and is designed to be studied over an extended timeframe. The problemsolving aspects are developed more fully than in many other texts; showing readers how problems are approached and bringing out the ways of going about constructing a model and solution.
(source: Nielsen Book Data)
 Online
 Deriglazov, Alexei.
 2nd ed.  Switzerland : Springer, 2016, ©2017.
 Description
 Book — 1 online resource (455 pages)
 Summary

 Sketch of Lagrangian Formalism. Hamiltonian Formalism. Canonical Transformations of TwoDimensional Phase Space. Properties of Canonical Transformations. Integral Invariants. Some Mechanical Problems in a Geometric Setting. Transformations, Symmetries and Noether Theorem. Hamiltonian Formalism for Singular Theories. Classical and Quantum Relativistic Mechanics of a Spinning Particle. Index.
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 Biscari, Paolo, author.
 Milano : Springer, 2016.
 Description
 Book — 1 online resource (x, 283 pages). Digital: text file; PDF.
 Summary

 1 Cinematica del corpo rigido libero
 2 Sistemi vincolati
 3 Cinematica relative. 4 Geometria dellemasse
 5 Leggi dellaMeccanica
 6 Statica
 7 Dinamica
 8 Meccanica lagrangiana
 9 Meccanica relativa
 10 Appendice A. Complementi di algebra lineare e analisi.
 Amato, Joseph C., author.
 Boca Raton : CRC Press, Taylor & Francis Group, 2015.
 Description
 Book — xvii, 593 pages : illustrations (some color) ; 24 cm
 Summary

 MATHEMATICAL TOOLBOX Surveying the Skies Vectors Using Vectors to Describe Motion CONSERVATION OF MOMENTUM The First Conservation Law: Mass, Momentum, and Rocketry Collisions and the Center of Mass Acceleration, Force, and Newton's Laws Circular Motion, Simple Harmonic Motion, and Time Kepler's Laws and Newton's Discovery of Universal Gravitation CONSERVATION OF ENERGY The Second Conservation Law: Energy Gravitational Potential Energy and Orbital Motion CONSERVATION OF ANGULAR MOMENTUM Rotations and the Third Conservation Law: Angular Momentum Angular Momentum and Its Conservation Torque, Angular Momentum, and the EarthMoon System GOING BEYOND Dark Matter, Dark Energy, and the Fate of the Universe Appendix A: Physical Units Appendix B: Astrophysical Data Appendix C: Physical Constants Index.
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 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA805 .A48 2015  Unknown 
 Sussman, Gerald Jay author.
 Second edition  [S.l. : s.n.] Cambridge, Massachusetts : MIT Press, [2014] [Piscataqay, New Jersey] : IEEE Xplore, [2015]
 Description
 Book — 1 online resource (xxi, 554 pages)
 Summary

 1. Lagrangian mechanics
 2. Rigid bodies
 3. Hamiltonian mechanics
 4. Phase space structure
 5. Canonical transformations
 6. Canonical evolution
 7. Canonical perturbation theory
 8. Appendix: scheme
 9. Appendix: our notation
(source: Nielsen Book Data)
 Lam, Kai S. (Kai Shue), 1949 author.
 Hackensack, NJ : World Scientific Publishing Co. Pte. Ltd., [2014]
 Description
 Book — xv, 574 pages : illustrations ; 24 cm
 Summary

 Vectors, Tensors, and Linear Transformations
 The Hodge  Star Operator and the Vector Cross Product
 Differentiable Manifolds: the Tangent and Cotangent Bundles
 Vector Calculus by Differential Forms
 Cartan's Method of Moving Frames: Curvilinear Coordinates in R3
 Flows and Lie Derivatives
 Simple Applications of Newton's Laws
 Centrifugal and Coriolis Forces
 Classical Model of the Atom: Power Spectra
 ManyParticle Systems and the Conservation Principles
 Topology and Systems with Holonomic Constraints: Homology and de Rham Cohomology
 The Parallel Transport of Vectors: The Foucault Pendulum
 Force and Curvature
 The Curvature Tensor in Riemannian Geometry
 Calculus of Variations, the Euler  Lagrange Equations, the First Variation of Arc Length and Geodesics
 The Second Variation of Arc Length, Index Forms, and Jacobi Fields
 The Lagrangian Formulation of Classical Mechanics: Hamilton's Principle of Least Action, Lagrange Multipliers in Constrained Motion
 The Hamiltonian Formulation of Classical Mechanics: Hamilton's Equations of Motion
 Symmetric Tops
 Integrability, Invariant Tori, ActionAngle Variables
 Hamilton  Jacobi Theory, Integral Invariants
 The Kolmogorov  Arnold  Moser (KAM) Theory: Stability of Invariant Tori
 The ThreeBody Problem
 and other chapters.
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(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA805 .L245 2014  Unknown 
14. Mecánica clásica [2013]
 Classical mechanics. Spanish (Díaz Díaz and Casal Grau)
 Taylor, John R. (John Robert), 1939 author.
 Nueva edición revisada  Barcelona : Editorial Reverté, [2013]
 Description
 Book — 1 online resource : illustrations Digital: text file.PDF.
 DiBenedetto, Emmanuele.
 New York : Birkhäuser : Springer, ©2011.
 Description
 Book — 1 online resource (xx, 351 pages) : illustrations Digital: text file.PDF.
 Summary

 Preface
 Geometry of Motion
 Constraints and Lagrangian Coordinates
 Dynamics of a Point Mass
 Geometry of Masses
 Systems Dynamics
 The Lagrange Equations
 Precessions
 Variational Principles
 Bibliography
 Index.
16. Classical mechanics [electronic resource] : from Newton to Einstein : a modern introduction [2010]
 McCall, Martin W.
 2nd ed.  Hoboken, N.J. : Wiley, 2010.
 Description
 Book — 1 online resource (xiv, 235 p.) : ill.
 Summary

 Preface to Second Edition. Preface to First Edition. 1 Newton'sLaws. 1.1 What is Mechanics? 1.2 Mechanics as a Scientific Theory. 1.3 Newtonian vs. Einsteinian Mechanics. 1.4 Newton's Laws. 1.5 A Deeper Look at Newton's Laws. 1.6 Inertial Frames. 1.7 Newton's Laws in Noninertial Frames. 1.8 Switching Off Gravity. 1.9 Finale  Laws, Postulates or Definitions? 1.10 Summary. 1.11 Problems. 2 Onedimensional Motion. 2.1 Rationale for Onedimensional Analysis. 2.2 The Concept of a Particle. 2.3 Motion with a Constant Force. 2.4 Work and Energy. 2.5 Impulse and Power. 2.6 Motion with a Positiondependent Force. 2.7 The Nature of Energy. 2.8 Potential Functions. 2.9 Equilibria. 2.10 Motion Close to a Stable Equilibrium. 2.11 The Stability of the Universe. 2.12 Trajectory of a Body Falling a Large Distance Under Gravity. 2.13 Motion with a Velocitydependent Force. 2.14 Summary. 2.15 Problems. 3 Oscillatory Motion. 3.1 Introduction. 3.2 Prototype Harmonic Oscillator. 3.3 Differential Equations. 3.4 General Solution for Simple Harmonic Motion. 3.5 Energy in Simple Harmonic Motion. 3.6 Damped Oscillations. 3.7 Light Damping  the Q Factor. 3.8 Heavy Damping and Critical Damping. 3.9 Forced Oscillations. 3.10 Complex Number Method. 3.11 Electrical Analogue. 3.12 Power in Forced Oscillations. 3.13 Coupled Oscillations. 3.14 Summary. 3.15 Problems. 4 Twobody Dynamics. 4.1 Rationale. 4.2 Centre of Mass. 4.3 Internal Motion: Reduced Mass. 4.4 Collisions. 4.5 Elastic Collisions. 4.6 Inelastic Collisions. 4.7 Centreofmass Frame. 4.8 Rocket Motion. 4.9 Launch Vehicles. 4.10 Summary. 4.11 Problems. 5 Relativity 1: Space and Time. 5.1 Why Relativity? 5.2 Galilean Relativity. 5.3 The Fundamental Postulates of Relativity. 5.4 Inertial Observers in Relativity. 5.5 Comparing Transverse Distances Between Frames. 5.6 Lessons from a Light Clock: Time Dilation. 5.7 Proper Time. 5.8 Interval Invariance. 5.9 The Relativity of Simultaneity. 5.10 The Relativity of Length: Length Contraction. 5.11 The Lorentz Transformations. 5.12 Velocity Addition. 5.13 Particles Moving Faster than Light: Tachyons. 5.14 Summary. 5.15 Problems. 6 Relativity 2: Energy and Momentum. 6.1 Energy and Momentum. 6.2 The Meaning of Rest Energy. 6.3 Relativistic Collisions and Decays. 6.4 Photons. 6.5 Units in Highenergy Physics. 6.6 Energy/Momentum Transformations Between Frames. 6.7 Relativistic Doppler Effect. 6.8 Summary. 6.9 Problems. 7 Gravitational Orbits. 7.1 Introduction. 7.2 Work in Three Dimensions. 7.3 Torque and Angular Momentum. 7.4 Central Forces. 7.5 Gravitational Orbits. 7.6 Kepler's Laws. 7.7 Comments. 7.8 Summary. 7.9 Problems. 8 Rigid Body Dynamics. 8.1 Introduction. 8.2 Torque and Angular Momentum for Systems of Particles. 8.3 Centre of Mass of Systems of Particles and Rigid Bodies. 8.4 Angular Momentum of Rigid Bodies. 8.5 Kinetic Energy of Rigid Bodies. 8.6 Bats, Cats, Pendula and Gyroscopes. 8.7 General Rotation About a Fixed Axis. 8.8 Principal Axes. 8.9 Examples of Principal Axes and Principal Moments of Inertia. 8.10 Kinetic Energy of a Body Rotating About a Fixed Axis. 8.11 Summary. 8.12 Problems. 9 Rotating Frames. 9.1 Introduction. 9.2 Experiments on Roundabouts. 9.3 General Prescription for Rotating Frames. 9.4 The Centrifugal Term. 9.5 The Coriolis Term. 9.6 The Foucault Pendulum. 9.7 Free Rotation of a Rigid Body  Tennis Rackets and Matchboxes. 9.8 Final Thoughts. 9.9 Summary. 9.10 Problems.
 Appendix 1: Vectors, Matrices and Eigenvalues. A.1 The Scalar (Dot) Product. A.2 The Vector (Cross) Product. A.3 The Vector Triple Product. A.4 Multiplying a Vector by a Matrix. A.5 Calculating the Determinant of a 3 x 3 Matrix. A.6 Eigenvectors and Eigenvalues. A.7 Diagonalising Symmetric Matrices.
 Appendix 2: Answers to Problems.
 Appendix 3: Bibliography. Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
This new edition of Classical Mechanics , aimed at undergraduate physics and engineering students, presents ina userfriendly style an authoritative approach to the complementary subjects of classical mechanics and relativity. The text starts with a careful look at Newton's Laws, before applying them in one dimension to oscillations and collisions. More advanced applications  including gravitational orbits and rigid body dynamics  are discussed after the limitations of Newton's inertial frames have been highlighted through an exposition of Einstein's Special Relativity. Examples given throughout are often unusual for an elementary text, but are made accessible to the reader through discussion and diagrams. Updates and additions for this new edition include: New vector notation in Chapter 1 An enhanced discussion of equilibria in Chapter 2 A new section on a body falling a large distance towards a gravitational source in Chapter 2 New sections in Chapter 8 on general rotation about a fixed principal axes, simple examples of principal axes and principal moments of inertia and kinetic energy of a body rotating about a fixed axis New sections in chapter 9: Foucault pendulum and free rotation of a rigid body; the latter including the famous tennis racquet theorem Enhanced chapter summaries at the end of each chapter Novel problems with numerical answers A solutions manual is available at: www.wiley.com/go/mccall.
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17. Mecánica [2010]
 López Rodríguez, Ricardo, author.
 Madrid : Editorial Tébar, 2010.
 Description
 Book — 1 online resource (224 pages) : illustrations
18. Mecánica teórica [2010]
 Carot, Jaume, author.
 Barcelona : Editorial Reverté ; [Palma, Spain] : Universitat de les Illes Balears, Edicions UIB, [2010]
 Description
 Book — 1 online resource Digital: text file.PDF.
 Singapore ; Hackensack, NJ : World Scientific, c2006.
 Description
 Book — xiv, 282 p. ; 24 cm.
 Summary

 Vibrations and Stability of Thin Structures: Eliza Haseganu's Analysis of Wrinkling in Pressurized Membranes (D J Steigmann)
 Buckling, Vibrations and Optimal Design of RingStiffened Thin Cylindrical Shells (S B Filippov)
 Asymptotic Analysis of Thin Shell Buckling (A L Smirnov)
 ThinWall Structures Made of Materials with Variable Elastic Moduli (A L Smirnov & P E Tovstik)
 Asymptotic Integration of Free Vibration Equations of Cylindrical Shells by Symbolic Computation (E M Haseganu et al.)
 Vibrations and Stability in Continuum Mechanics: The Mechanics of PreStressed and PrePolarized Piezoelectric Crystals (E Baesu)
 On the Stability of Transient Viscous Flow in an Annulus (A A Kolyshkin et al.)
 Biomechanics: Mechanical Models of the Development of Glaucoma (S M Bauer)
 A Micromechanical Model for Predicting Microcracking Induced Material Degradation in Human Cortical Bone Tissue (O Akkus et al.)
 Experimental and Computational Mechanics of Solids: An Evolution of Solid Elements for ThermalMechanical Finite Element Analysis (J Moyra & J McDill)
 Quantization Effects in Shallow Powder Bed Vibrations (J Pegna & J Zhu).
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SAL3 (offcampus storage)
SAL3 (offcampus storage)  Status 

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QA801.2 .A38 2006  Available 
20. Classical mechanics : an undergraduate text [2006]
 Gregory, R. Douglas.
 Cambridge, UK ; New York : Cambridge University Press, 2006.
 Description
 Book — xii, 596 p. : ill. ; 26 cm.
 Summary

 Part I. Newtonian Mechanics of a Single Particle: 1. The algebra and calculus of vectors
 2. Velocity, acceleration and scalar angular velocity
 3. Newton's laws of motion and the law of gravitation
 4. Problems in particle dynamics
 5. Linear oscillations
 6. Energy conservation
 7. Orbits in a central field
 8. Nonlinear oscillations and phase space
 Part II. Multiparticle Systems: 9. The energy principle
 10. The linear momentum principle
 11. The angular momentum principle
 Part III. Analytical mechanics: 12. Lagrange's equations and conservation principle
 13. The calculus of variations and Hamilton's principle
 14. Hamilton's equations and phase space
 Part IV. Further Topics: 15. The general theory of small oscillations
 16. Vector angular velocity and rigid body kinematics
 17. Rotating reference frames
 18. Tensor algebra and the inertia tensor
 19. Problems in rigid body dynamics
 Appendix: centres of mass and moments of inertia
 Answers to the problems
 Bibliography
 Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
SAL3 (offcampus storage), Science Library (Li and Ma)
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QA805 .G66 2006  Available 
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QA805 .G66 2006  Unknown 
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