Engineering Dynamics : A Comprehensive Introduction.

Cover -- Contents -- Preface -- Chapter 1. Introduction -- 1.1 What Is Dynamics? -- 1.2 Organization of the Book -- 1.3 Key Ideas -- 1.4 Notes and Further Reading -- 1.5 Problems -- Chapter 2. Newtonian Mechanics -- 2.1 Newton's Laws -- 2.2 A Deeper Look at Newton's Second Law -- 2.3 Building Models and the Free-Body Diagram -- 2.4 Constraints and Degrees of Freedom -- 2.5 A Discussion of Units -- 2.6 Tutorials -- 2.7 Key Ideas -- 2.8 Notes and Further Reading -- 2.9 Problems -- Part One. Particle Dynamics in the Plane -- Chapter 3. Planar Kinematics and Kinetics of a Particle -- 3.1 The Simple Pendulum -- 3.2 More on Vectors and Reference Frames -- 3.3 Velocity and Acceleration in the Inertial Frame -- 3.4 Inertial Velocity and Acceleration in a Rotating Frame -- 3.5 The Polar Frame and Fictional Forces -- 3.6 An Introduction to Relative Motion -- 3.7 How to Solve a Dynamics Problem -- 3.8 Derivations-Properties of the Vector Derivative -- 3.9 Tutorials -- 3.10 Key Ideas -- 3.11 Notes and Further Reading -- 3.12 Problems -- Chapter 4. Linear and Angular Momentum of a Particle -- 4.1 Linear Momentum and Linear Impulse -- 4.2 Angular Momentum and Angular Impulse -- 4.3 Tutorials -- 4.4 Key Ideas -- 4.5 Notes and Further Reading -- 4.6 Problems -- Chapter 5. Energy of a Particle -- 5.1 Work and Power -- 5.2 Total Work and Kinetic Energy -- 5.3 Work Due to an Impulse -- 5.4 Conservative Forces and Potential Energy -- 5.5 Total Energy -- 5.6 Derivations-Conservative Forces and Potential Energy -- 5.7 Tutorials -- 5.8 Key Ideas -- 5.9 Notes and Further Reading -- 5.10 Problems -- Part Two. Planar Motion of a Multiparticle System -- Chapter 6. Linear Momentum of a Multiparticle System -- 6.1 Linear Momentum of a System of Particles -- 6.2 Impacts and Collisions -- 6.3 Mass Flow -- 6.4 Tutorials -- 6.5 Key Ideas -- 6.6 Notes and Further Reading.

6.7 Problems -- Chapter 7. Angular Momentum and Energy of a Multiparticle System -- 7.1 Angular Momentum of a System of Particles -- 7.2 Angular Momentum Separation -- 7.3 Total Angular Momentum Relative to an Arbitrary Point -- 7.4 Work and Energy of a Multiparticle System -- 7.5 Tutorials -- 7.6 Key Ideas -- 7.7 Notes and Further Reading -- 7.8 Problems -- Part Three. Relative Motion and Rigid-Body Dynamics in Two Dimensions -- Chapter 8. Relative Motion in a Rotating Frame -- 8.1 Rotational Motion of a Planar Rigid Body -- 8.2 Relative Motion in a Rotating Frame -- 8.3 Planar Kinetics in a Rotating Frame -- 8.4 Tutorials -- 8.5 Key Ideas -- 8.6 Notes and Further Reading -- 8.7 Problems -- Chapter 9. Dynamics of a Planar Rigid Body -- 9.1 A Rigid Body Is a Multiparticle System -- 9.2 Translation of the Center of Mass-Euler's First Law -- 9.3 Rotation about the Center of Mass-Euler's Second Law -- 9.4 Rotation about an Arbitrary Body Point -- 9.5 Work and Energy of a Rigid Body -- 9.6 A Collection of Rigid Bodies and Particles -- 9.7 Tutorials -- 9.8 Key Ideas -- 9.9 Notes and Further Reading -- 9.10 Problems -- Part Four. Dynamics in Three Dimensions -- Chapter 10. Particle Kinematics and Kinetics in Three Dimensions -- 10.1 Two New Coordinate Systems -- 10.2 The Cylindrical and Spherical Reference Frames -- 10.3 Linear Momentum, Angular Momentum, and Energy -- 10.4 Relative Motion in Three Dimensions -- 10.5 Derivations-Euler's Theorem and the Angular Velocity -- 10.6 Tutorials -- 10.7 Key Ideas -- 10.8 Notes and Further Reading -- 10.9 Problems -- Chapter 11. Multiparticle and Rigid-Body Dynamics in Three Dimensions -- 11.1 Euler's Laws in Three Dimensions -- 11.2 Three-Dimensional Rotational Equations of Motion of a Rigid Body -- 11.3 The Moment Transport Theorem and the Parallel Axis Theorem in Three Dimensions.

11.4 Dynamics of Multibody Systems in Three Dimensions -- 11.5 Rotating the Moment of Inertia Tensor -- 11.6 Angular Impulse in Three Dimensions -- 11.7 Work and Energy of a Rigid Body in Three Dimensions -- 11.8 Tutorials -- 11.9 Key Ideas -- 11.10 Notes and Further Reading -- 11.11 Problems -- Part Five. Advanced Topics -- Chapter 12. Some Important Examples -- 12.1 An Introduction to Vibrations and Linear Systems -- 12.2 Linearization and the Linearized Dynamics of an Airplane -- 12.3 Impacts of Finite-Sized Particles -- 12.4 Key Ideas -- 12.5 Notes and Further Reading -- Chapter 13. An Introduction to Analytical Mechanics -- 13.1 Generalized Coordinates -- 13.2 Degrees of Freedom and Constraints -- 13.3 Lagrange's Method -- 13.4 Kane's Method -- 13.5 Key Ideas -- 13.6 Notes and Further Reading -- Appendices -- Appendix A. A Brief Review of Calculus -- A.1 Continuous Functions -- A.2 Differentiation -- A.3 Integration -- A.4 Higher Derivatives and the Taylor Series -- A.5 Multivariable Functions and the Gradient -- A.6 The Directional Derivative -- A.7 Differential Volumes and Multiple Integration -- Appendix B. Vector Algebra and Useful Identities -- B.1 The Vector -- B.2 Vector Magnitude -- B.3 Vector Components -- B.4 Vector Multiplication -- Appendix C. Differential Equations -- C.1 What Is a Differential Equation? -- C.2 Some Common ODEs and Their Solutions -- C.3 First-Order Form -- C.4 Numerical Integration of an Initial Value Problem -- C.5 Using Matlab to Solve ODEs -- Appendix D. Moments of Inertia of Selected Bodies -- Bibliography -- Index.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.