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| Preface | |
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| Introduction | |
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| What Is Dynamics? | |
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| Organization of the Book | |
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| Key Ideas | |
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| Notes and Further Reading | |
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| Problems | |
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| Newtonian Mechanics | |
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| Newton's Laws | |
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| A Deeper Look at Newton's Second Law | |
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| Building Models and the Free-Body Diagram | |
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| Constraints and Degrees of Freedom | |
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| A Discussion of Units | |
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| Tutorials | |
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| Key Ideas | |
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| Notes and Further Reading | |
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| Problems | |
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| Particle Dynamics in the Plane | |
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| Planar Kinematics and Kinetics of a Particle | |
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| The Simple Pendulum | |
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| More on Vectors and Reference Frames | |
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| Velocity and Acceleration in the Inertial Frame | |
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| Inertial Velocity and Acceleration in a Rotating Frame | |
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| The Polar Frame and Fictional Forces | |
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| An Introduction to Relative Motion | |
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| How to Solve a Dynamics Problem | |
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| Derivations-Properties of the Vector Derivative | |
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| Tutorials | |
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| Key Ideas | |
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| Notes and Further Reading | |
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| Problems | |
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| Linear and Angular Momentum of a Particle | |
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| Linear Momentum and Linear Impulse | |
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| Angular Momentum and Angular Impulse | |
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| Tutorials | |
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| Key Ideas | |
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| Notes and Further Reading | |
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| Problems | |
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| Energy of a Particle | |
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| Work and Power | |
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| Total Work and Kinetic Energy | |
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| Work Due to an Impulse | |
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| Conservative Forces and Potential Energy | |
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| Total Energy | |
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| Derivations-Conservative Forces and Potential Energy | |
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| Tutorials | |
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| Key Ideas | |
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| Notes and Further Reading | |
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| Problems | |
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| Planar Motion of a Multiparticle System | |
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| Linear Momentum of a Multiparticle System | |
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| Linear Momentum of a System of Particles | |
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| Impacts and Collisions | |
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| Mass Flow | |
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| Tutorials | |
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| Key Ideas | |
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| Notes and Further Reading | |
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| Problems | |
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| Angular Momentum and Energy of a Multiparticle System | |
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| Angular Momentum of a System of Particles | |
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| Angular Momentum Separation | |
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| Total Angular Momentum Relative to an Arbitrary Point | |
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| Work and Energy of a Multiparticle System | |
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| Tutorials | |
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| Key Ideas | |
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| Notes and Further Reading | |
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| Problems | |
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| Relative Motion and Rigid-Body Dynamics in Two Dimensions | |
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| Relative Motion in a Rotating Frame | |
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| Rotational Motion of a Planar Rigid Body | |
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| Relative Motion in a Rotating Frame | |
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| Planar Kinetics in a Rotating Frame | |
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| Tutorials | |
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| Key Ideas | |
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| Notes and Further Reading | |
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| Problems | |
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| Dynamics of a Planar Rigid Body | |
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| A Rigid Body Is a Multiparticle System | |
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| Translation of the Center of Mass-Euler's First Law | |
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| Rotation about the Center of Mass- Euler's Second Law | |
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| Rotation about an Arbitrary Body Point | |
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| Work and Energy of a Rigid Body | |
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| A Collection of Rigid Bodies and Particles | |
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| Tutorials | |
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| Key Ideas | |
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| Notes and Further Reading | |
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| Problems | |
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| Dynamics in Three Dimensions | |
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| Particle Kinematics and Kinetics in Three Dimensions | |
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| Two New Coordinate Systems | |
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| The Cylindrical and Spherical Reference Frames | |
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| Linear Momentum, Angular Momentum, and Energy | |
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| Relative Motion m Three Dimensions | |
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| Derivations-Euler's Theorem and the Angular Velocity | |
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| Tutorials | |
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| Key Ideas | |
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| Notes and Further Reading | |
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| Problems | |
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| Multiparticle and Rigid-Body Dynamics in Three Dimensions | |
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| Euler's Laws in Three Dimensions | |
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| Three-Dimensional Rotational Equations of Motion of a Rigid Body | |
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| The Moment Transport Theorem and the Parallel Axis Theorem in Three Dimensions | |
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| Dynamics of Multibody Systems in Three Dimensions | |
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| Rotating the Moment of Inertia Tensor | |
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| Angular Impulse in Three Dimensions | |
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| Work and Energy of a Rigid Body in Three Dimensions | |
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| Tutorials | |
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| Key Ideas | |
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| Notes and Further Reading | |
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| Problems | |
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| Advanced Topics | |
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| Some Important Examples | |
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| An Introduction to Vibrations and Linear Systems | |
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| Linearization and the Linearized Dynamics of an Airplane | |
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| Impacts of Finite-Sized Particles | |
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| Key Ideas | |
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| Notes and Further Reading | |
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| An Introduction to Analytical Mechanics | |
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| Generalized Coordinates | |
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| Degrees of Freedom and Constraints | |
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| Lagrange's Method | |
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| Kane's Method | |
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| Key Ideas | |
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| Notes and Further Reading | |
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| Appendices | |
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| A Brief Review of Calculus | |
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| Continuous Functions | |
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| Differentiation | |
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| Integration | |
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| Higher Derivatives and the Taylor Series | |
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| Multivariable Functions and the Gradient | |
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| The Directional Derivative | |
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| Differential Volumes and Multiple Integration | |
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| Vector Algebra and Useful Identities | |
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| The Vector | |
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| Vector Magnitude | |
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| Vector Components | |
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| Vector Multiplication | |
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| Differential Equations | |
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| What Is a Differential Equation? | |
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| Some Common ODEs and Their Solutions | |
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| First-Order Form | |
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| Numerical Integration of an Initial Value Problem | |
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| Using Matlab to Solve ODEs | |
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| Moments of Inertia of Selected Bodies | |
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| Bibliography | |
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| Index | |