Preface |
Introduction / Chapter 1: |
What Is Dynamics? / 1.1: |
Organization of the Book / 1.2: |
Key Ideas / 1.3: |
Notes and Further Reading / 1.4: |
Problems / 1.5: |
Newtonian Mechanics / Chapter 2: |
Newton's Laws / 2.1: |
A Deeper Look at Newton's Second Law / 2.2: |
Building Models and the Free-Body Diagram / 2.3: |
Constraints and Degrees of Freedom / 2.4: |
A Discussion of Units / 2.5: |
Tutorials / 2.6: |
Particle Dynamics in the Plane / 2.7: |
Planar Kinematics and Kinetics of a Particle / Chapter 3: |
The Simple Pendulum / 3.1: |
More on Vectors and Reference Frames / 3.2: |
Velocity and Acceleration in the Inertial Frame / 3.3: |
Inertial Velocity and Acceleration in a Rotating Frame / 3.4: |
The Polar Frame and Fictional Forces / 3.5: |
An Introduction to Relative Motion / 3.6: |
How to Solve a Dynamics Problem / 3.7: |
Derivations-Properties of the Vector Derivative / 3.8: |
Linear and Angular Momentum of a Particle / 3.9: |
Linear Momentum and Linear Impulse / 4.1: |
Angular Momentum and Angular Impulse / 4.2: |
Energy of a Particle / 4.3: |
Work and Power / 5.1: |
Total Work and Kinetic Energy / 5.2: |
Work Due to an Impulse / 5.3: |
Conservative Forces and Potential Energy / 5.4: |
Total Energy / 5.5: |
Derivations-Conservative Forces and Potential Energy / 5.6: |
Planar Motion of a Multiparticle System / 5.7: |
Linear Momentum of a Multiparticle System / Chapter 6: |
Linear Momentum of a System of Particles / 6.1: |
Impacts and Collisions / 6.2: |
Mass Flow / 6.3: |
Angular Momentum and Energy of a Multiparticle System / 6.4: |
Angular Momentum of a System of Particles / 7.1: |
Angular Momentum Separation / 7.2: |
Total Angular Momentum Relative to an Arbitrary Point / 7.3: |
Work and Energy of a Multiparticle System / 7.4: |
Relative Motion and Rigid-Body Dynamics in Two Dimensions / 7.5: |
Relative Motion in a Rotating Frame / Chapter 8: |
Rotational Motion of a Planar Rigid Body / 8.1: |
Planar Kinetics in a Rotating Frame / 8.2: |
Dynamics of a Planar Rigid Body / 8.4: |
A Rigid Body Is a Multiparticle System / 9.1: |
Translation of the Center of Mass-Euler's First Law / 9.2: |
Rotation about the Center of Mass- Euler's Second Law / 9.3: |
Rotation about an Arbitrary Body Point / 9.4: |
Work and Energy of a Rigid Body / 9.5: |
A Collection of Rigid Bodies and Particles / 9.6: |
Dynamics in Three Dimensions / 9.7: |
Particle Kinematics and Kinetics in Three Dimensions / Chapter 10: |
Two New Coordinate Systems / 10.1: |
The Cylindrical and Spherical Reference Frames / 10.2: |
Linear Momentum, Angular Momentum, and Energy / 10.3: |
Relative Motion m Three Dimensions / 10.4: |
Derivations-Euler's Theorem and the Angular Velocity / 10.5: |
Multiparticle and Rigid-Body Dynamics in Three Dimensions / 10.6: |
Euler's Laws in Three Dimensions / 11.1: |
Three-Dimensional Rotational Equations of Motion of a Rigid Body / 11.2: |
The Moment Transport Theorem and the Parallel Axis Theorem in Three Dimensions / 11.3: |
Dynamics of Multibody Systems in Three Dimensions / 11.4: |
Rotating the Moment of Inertia Tensor / 11.5: |
Angular Impulse in Three Dimensions / 11.6: |
Work and Energy of a Rigid Body in Three Dimensions / 11.7: |
Advanced Topics / 11.8: |
Some Important Examples / Chapter 12: |
An Introduction to Vibrations and Linear Systems / 12.1: |
Linearization and the Linearized Dynamics of an Airplane / 12.2: |
Impacts of Finite-Sized Particles / 12.3: |
An Introduction to Analytical Mechanics / 12.4: |
Generalized Coordinates / 13.1: |
Degrees of Freedom and Constraints / 13.2: |
Lagrange's Method / 13.3: |
Kane's Method / 13.4: |
Appendices / 13.5: |
A Brief Review of Calculus / Appendix A: |
Continuous Functions / A.1: |
Differentiation / A.2: |
Integration / A.3: |
Higher Derivatives and the Taylor Series / A.4: |
Multivariable Functions and the Gradient / A.5: |
The Directional Derivative / A.6: |
Differential Volumes and Multiple Integration / A.7: |
Vector Algebra and Useful Identities / Appendix B: |
The Vector / B.1: |
Vector Magnitude / B.2: |
Vector Components / B.3: |
Vector Multiplication / B.4: |
Differential Equations / Appendix C: |
What Is a Differential Equation? / C.1: |
Some Common ODEs and Their Solutions / C.2: |
First-Order Form / C.3: |
Numerical Integration of an Initial Value Problem / C.4: |
Using Matlab to Solve ODEs / C.5: |
Moments of Inertia of Selected Bodies / Appendix D: |
Bibliography |
Index |
Preface |
Introduction / Chapter 1: |
What Is Dynamics? / 1.1: |
Organization of the Book / 1.2: |
Key Ideas / 1.3: |
Notes and Further Reading / 1.4: |