{"product_id":"dynamics-of-particles-and-rigid-bodies-isbn-9781119463146","title":"Dynamics of Particles and Rigid Bodies","description":"\u003cp\u003e\u003cb\u003eA\u003c\/b\u003e\u003cb\u003e unique approach to teaching particle and rigid body dynamics using solved illustrative examples and exercises to encourage self-learning\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eThe study of particle and rigid body dynamics is a fundamental part of curricula for students pursuing graduate degrees in areas involving dynamics and control of systems. These include physics, robotics, nonlinear dynamics, aerospace, celestial mechanics and automotive engineering, among others. While the field of particle and rigid body dynamics has not evolved significantly over the past seven decades, neither have approaches to teaching this complex subject. This book fills the void in the academic literature by providing a uniquely stimulating, “flipped classroom” approach to teaching particle and rigid body dynamics which was developed, tested and refined by the author and his colleagues over the course of many years of instruction at both the graduate and undergraduate levels. \u003c\/p\u003e \u003cp\u003eComplete with numerous solved illustrative examples and exercises to encourage self-learning in a flipped-classroom environment, \u003ci\u003eDynamics of Particles and Rigid Bodies: A Self-Learning Approach\u003c\/i\u003e:\u003c\/p\u003e \u003cul\u003e \u003cli\u003eProvides detailed, easy-to-understand explanations of concepts and mathematical derivations\u003c\/li\u003e \u003cli\u003eIncludes numerous flipped-classroom exercises carefully designed to help students comprehend the material covered without actually solving the problem for them\u003c\/li\u003e \u003cli\u003eFeatures an extensive chapter on electromechanical modelling of systems involving particle and rigid body motion\u003c\/li\u003e \u003cli\u003eProvides examples from the state-of-the-art research on sensing, actuation, and energy harvesting mechanisms\u003c\/li\u003e \u003cli\u003eOffers access to a companion website featuring additional exercises, worked problems, diagrams and a solutions manual\u003c\/li\u003e \u003c\/ul\u003e Ideal as a textbook for classes in dynamics and controls courses, \u003ci\u003eDynamics of Particles and Rigid Bodies: A Self-Learning Approach \u003c\/i\u003eis a godsend for students pursuing advanced engineering degrees who need to master this complex subject. It will also serve as a handy reference for professional engineers across an array of industrial domains. \u003cp\u003eList of Figures xiii\u003c\/p\u003e \u003cp\u003ePreface xxiii\u003c\/p\u003e \u003cp\u003eAcknowledgement xxvii\u003c\/p\u003e \u003cp\u003eIntroduction xxix\u003c\/p\u003e \u003cp\u003eAbout the Companion Website xliii\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Kinematics of Particles 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Inertial Frames 1\u003c\/p\u003e \u003cp\u003e1.2 Rotating Frames 2\u003c\/p\u003e \u003cp\u003e1.3 Rotation Matrices 4\u003c\/p\u003e \u003cp\u003e1.4 Velocity of a Particle in a Three-dimensional Space 8\u003c\/p\u003e \u003cp\u003e1.5 Acceleration of a Particle in a Three-dimensional Space 14\u003c\/p\u003e \u003cp\u003eExercises 21\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Dynamics of Particles: Vectorial Approach 27\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Newton’s Second Law of Dynamics 27\u003c\/p\u003e \u003cp\u003e2.2 Stiffness and Viscous Damping 37\u003c\/p\u003e \u003cp\u003e2.3 Dry Friction 40\u003c\/p\u003e \u003cp\u003e2.4 Dynamics of a System of Particles 43\u003c\/p\u003e \u003cp\u003e2.5 Newton’s Law of Gravitation 47\u003c\/p\u003e \u003cp\u003eExercises 50\u003c\/p\u003e \u003cp\u003eReference 54\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Dynamics of Rigid Bodies: Vectorial Approach 55\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Center of Mass 55\u003c\/p\u003e \u003cp\u003e3.2 Mass Moment of Inertia 57\u003c\/p\u003e \u003cp\u003e3.3 Parallel Axis Theorem 61\u003c\/p\u003e \u003cp\u003e3.4 Rotation of the Inertia Matrix 65\u003c\/p\u003e \u003cp\u003e3.4.1 The Principal Axes 66\u003c\/p\u003e \u003cp\u003e3.5 Planar Motion of Rigid Bodies 69\u003c\/p\u003e \u003cp\u003e3.5.1 Moment about an Inertial Point 72\u003c\/p\u003e \u003cp\u003e3.5.2 Moment about a Moving Point on the Body 73\u003c\/p\u003e \u003cp\u003e3.5.3 Moment about the Center of Mass or a Fixed Point on the Body 73\u003c\/p\u003e \u003cp\u003e3.6 Non-planar Rigid-body Motion 83\u003c\/p\u003e \u003cp\u003e3.6.1 Euler Rotational Equations 85\u003c\/p\u003e \u003cp\u003eExercises 94\u003c\/p\u003e \u003cp\u003eReference 101\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 System Constraints and Virtual Displacement 103\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Constraints 103\u003c\/p\u003e \u003cp\u003e4.1.1 Classification of Constraints 104\u003c\/p\u003e \u003cp\u003e4.2 Actual and Virtual Displacements 110\u003c\/p\u003e \u003cp\u003e4.3 Virtual Work 113\u003c\/p\u003e \u003cp\u003eExercises 115\u003c\/p\u003e \u003cp\u003eReference 116\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Dynamics of Particles: Analytical Approach 117\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 The Brachistochrone Problem 117\u003c\/p\u003e \u003cp\u003e5.2 Lagrange’s Equation for a Conservative System 123\u003c\/p\u003e \u003cp\u003e5.3 Lagrange’s Equation for Non-conservative Systems 131\u003c\/p\u003e \u003cp\u003e5.3.1 Viscous Damping 134\u003c\/p\u003e \u003cp\u003e5.4 Lagrange’s Equations with Constraints 141\u003c\/p\u003e \u003cp\u003e5.4.1 Physical Interpretation of Lagrange Multipliers 146\u003c\/p\u003e \u003cp\u003e5.5 Cyclic Coordinates 151\u003c\/p\u003e \u003cp\u003e5.6 Advantages and Disadvantages of the Analytical Approach 154\u003c\/p\u003e \u003cp\u003eExercises 155\u003c\/p\u003e \u003cp\u003eReferences 159\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Dynamics of Rigid Bodies: Analytical Approach 161\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Kinetic Energy of a Rigid Body 161\u003c\/p\u003e \u003cp\u003e6.2 Lagrange’s Equation Applied to Rigid Bodies 166\u003c\/p\u003e \u003cp\u003eExercises 176\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Momentum 183\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Linear Momentum 183\u003c\/p\u003e \u003cp\u003e7.2 Collision 186\u003c\/p\u003e \u003cp\u003e7.3 Angular Momentum of Particles 192\u003c\/p\u003e \u003cp\u003e7.3.1 Angular Impulse 195\u003c\/p\u003e \u003cp\u003e7.4 Angular Momentum of Rigid Bodies (Planar Motion) 199\u003c\/p\u003e \u003cp\u003e7.4.1 Angular Momentum about an Axis Passing through the Center of Mass 199\u003c\/p\u003e \u003cp\u003e7.4.2 Angular Momentum about an Axis Passing through a Fixed Point on the Body 201\u003c\/p\u003e \u003cp\u003e7.4.3 Angular Momentum about an Axis Passing through an Arbitrary Inertial Point 201\u003c\/p\u003e \u003cp\u003e7.5 Angular Momentum of Rigid Bodies (Non-planar Motion) 205\u003c\/p\u003e \u003cp\u003e7.5.1 Angular Momentum about a Set of Axes Located at the Center of Mass 205\u003c\/p\u003e \u003cp\u003e7.5.2 Angular Momentum about a Set of Axes Located at a Fixed Point 206\u003c\/p\u003e \u003cp\u003e7.5.3 Angular Momentum about a Set of Axes Located at an Arbitrary Inertial Point 206\u003c\/p\u003e \u003cp\u003e7.5.4 Conservation of Angular Momentum for Rigid Bodies 206\u003c\/p\u003e \u003cp\u003e7.6 Generalized Momenta 213\u003c\/p\u003e \u003cp\u003eExercises 219\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Motion of Charged Bodies in an Electric Field 227\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Electrostatics 227\u003c\/p\u003e \u003cp\u003e8.1.1 Electrostatic Forces 227\u003c\/p\u003e \u003cp\u003e8.1.2 Electric Field 229\u003c\/p\u003e \u003cp\u003e8.1.3 Electric Flux 232\u003c\/p\u003e \u003cp\u003e8.1.4 Electrostatic Potential Energy 234\u003c\/p\u003e \u003cp\u003e8.1.5 Electric Potential (Voltage) 235\u003c\/p\u003e \u003cp\u003e8.1.6 Capacitance 237\u003c\/p\u003e \u003cp\u003e8.1.7 Motion in an Electric Field 239\u003c\/p\u003e \u003cp\u003e8.2 Electromagnetism 247\u003c\/p\u003e \u003cp\u003e8.2.1 Electromagnetic Force 247\u003c\/p\u003e \u003cp\u003e8.2.2 Forces on a Current-carrying Conductor 253\u003c\/p\u003e \u003cp\u003e8.2.3 Electromagnetic Coupling 255\u003c\/p\u003e \u003cp\u003e8.2.4 Ampere’s Law 257\u003c\/p\u003e \u003cp\u003e8.2.5 Faraday’s Law of Induction 262\u003c\/p\u003e \u003cp\u003e8.3 Lagrangian Formulation for Electrical Elements 268\u003c\/p\u003e \u003cp\u003e8.3.1 Capacitor 268\u003c\/p\u003e \u003cp\u003e8.3.2 Inductor 269\u003c\/p\u003e \u003cp\u003e8.3.3 Resistor 269\u003c\/p\u003e \u003cp\u003e8.4 Maxwell’s Equations 273\u003c\/p\u003e \u003cp\u003e8.4.1 Maxwell’s First Equation 273\u003c\/p\u003e \u003cp\u003e8.4.2 Maxwell’s Second Equation 273\u003c\/p\u003e \u003cp\u003e8.4.3 Maxwell’s Third Equation 274\u003c\/p\u003e \u003cp\u003e8.4.4 Maxwell’s Fourth Equation 274\u003c\/p\u003e \u003cp\u003e8.5 Lagrangian Formulation of the Lorentz Force 275\u003c\/p\u003e \u003cp\u003eExercises 279\u003c\/p\u003e \u003cp\u003eReferences 284\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Introduction to Analysis Tools 285\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Basic Definitions 285\u003c\/p\u003e \u003cp\u003e9.2 Equilibrium Solutions of Dynamical Systems 287\u003c\/p\u003e \u003cp\u003e9.3 Stability and Classification of Equilibrium Solutions 288\u003c\/p\u003e \u003cp\u003e9.4 Phase-plane Representation of the Dynamics 296\u003c\/p\u003e \u003cp\u003e9.4.1 Conservative Systems 296\u003c\/p\u003e \u003cp\u003e9.4.2 Non-conservative Systems 303\u003c\/p\u003e \u003cp\u003e9.5 Bifurcation of Equilibrium Solutions 308\u003c\/p\u003e \u003cp\u003e9.5.1 Static Bifurcations 308\u003c\/p\u003e \u003cp\u003e9.5.2 Dynamic (Hopf) Bifurcation 315\u003c\/p\u003e \u003cp\u003e9.6 Basins of Attraction 323\u003c\/p\u003e \u003cp\u003eExercises 324\u003c\/p\u003e \u003cp\u003eReferences 326\u003c\/p\u003e \u003cp\u003eIndex 327\u003c\/p\u003e  \u003cp\u003e\u003cb\u003eMohammed F. Daqaq, PhD,\u003c\/b\u003e is a Global Network Associate Professor of Mechanical Engineering at New York University, Abu Dhabi. His research focuses on the application of various nonlinear phenomena to improve the performance of micro-power generation systems, micro-electromechanical systems, and vibration assisted manufacturing processes. He serves as an Associate Editor of the ASME Journal of Vibration and Acoustics and as a Subject Editor of the Journal Nonlinear Dynamics. \t  \u003c\/p\u003e\u003cp\u003e\u003cb\u003eDynamics of Particles and Rigid Bodies\u003c\/b\u003e \u003c\/p\u003e\u003cp\u003e\u003cb\u003eA unique approach to teaching particle and rigid body dynamics using solved illustrative examples and exercises to encourage self-learning\u003c\/b\u003e \u003c\/p\u003e\u003cp\u003eThe study of particle and rigid body dynamics is a fundamental part of curricula for students pursuing graduate degrees in areas involving dynamics and control of systems. These include physics, robotics, nonlinear dynamics, aerospace, celestial mechanics and automotive engineering, among others. While the field of particle and rigid body dynamics has not evolved significantly over the past seven decades, neither have approaches to teaching this complex subject. This book fills the void in the academic literature by providing a uniquely stimulating \"flipped classroom\" approach to teaching particle and rigid body dynamics which was developed, tested and refined by the author and his colleagues over the course of many years of instruction at both the graduate and undergraduate levels. \u003c\/p\u003e\u003cp\u003eComplete with numerous solved illustrative examples and exercises to encourage self-learning in a flipped-classroom environment, \u003ci\u003eDynamics of Particles and Rigid Bodies: A Self-Learning Approach:\u003c\/i\u003e \u003c\/p\u003e\u003cul\u003e \u003cli\u003e Provides detailed, easy-to-understand explanations of concepts and mathematical derivations\u003c\/li\u003e \u003cli\u003e Includes numerous flipped-classroom exercises carefully designed to help students comprehend the material covered without actually solving the problem for them\u003c\/li\u003e \u003cli\u003e Features an extensive chapter on electromechanical modelling of systems involving particle   and rigid body motion\u003c\/li\u003e \u003cli\u003e Provides examples from the state-of-the-art research on sensing, actuation, and energy harvesting mechanisms\u003c\/li\u003e \u003cli\u003e Offers access to a companion website featuring additional exercises, worked problems, diagrams and a solutions manual\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003eIdeal as a textbook for classes in dynamics and controls courses, \u003ci\u003eDynamics of Particles and Rigid Bodies: A Self-Learning Approach\u003c\/i\u003e is invaluable for students pursuing advanced engineering degrees who need to master this complex subject. It will also serve as a handy reference for professional engineers across an array of industrial domains.\u003c\/p\u003e","brand":"Wiley-ASME Press Series","offers":[{"title":"Default Title","offer_id":47989092909285,"sku":"NP9781119463146","price":91.5,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9781119463146.jpg?v=1761782764","url":"https:\/\/k12savings.com\/products\/dynamics-of-particles-and-rigid-bodies-isbn-9781119463146","provider":"K12savings","version":"1.0","type":"link"}