Table of Contents

Chapter 1. Background and Roadmap.

1.1 Newton’s Laws.

1.2   How You’ll Be Approaching Dynamics.

1.3   Units and Symbols.

1.4   Gravitation.

1.5   The Pieces of the Puzzle.

Chapter 2. Motion of Translating Bodies.

2.1 Straight-Line Motion.

2.2 Cartesian Coordinates.

2.3 Polar and Cylindrical Coordinates.

2.4 Path Coordinates.

2.5 Relative Motion and Constraints.

2.6 Just the Facts.

Chapter 3. Inertial Response of Translating Bodies.

3.1 Cartesian Coordinates.

3.2 Polar Coordinates.

3.3 Path Coordinates.

3.4 Linear Momentum and Linear Impulse.

3.5 Angular Momentum and Angular.

3.6 Orbital Mechanics.

3.7 Impact.

3.8 Oblique Impact.

3.9 Just the Facts.

Chapter 4. Energetics of Translating Bodies.

4.1 Kinetic Energy.

4.2 Potential Energies and Conservative Forces.

4.3 Power and Efficiency.

4.4 Just the Facts.

Chapter 5. Multibody Systems.

5.1 Force Balance and Linear Momentum.

5.2 Angular Momentum.

5.3 Work and Energy.

5.4 Stationary Enclosures with Mass Inflow and Outflow.

5.5 Nonconstant Mass Systems.

5.6 Just the Facts.

Chapter 6. Kinetics of Rigid Bodies Undergoing Planar Motion.

6.1 Relative Velocities on a Rigid Body.

6.2 Instantaneous Center of Rotation (ICR).

6.3 Rotating Reference Frames and Rigid-Body Accelerations.

6.4 Relative Motion on a Rigid Body.

6.5 Just the Facts.

Chapter 7. Kinetics of Rigid Bodies Undergoing Two-Dimensional Motion.

7.1 Curvilinear Translation.

7.2 Rotation about a Fixed Point.

7.3 General Motion.

7.4 Linear/Angular Momentum of Two-Dimensional Rigid Bodies.

7.5 Work/Energy of Two-Dimensional Rigid Bodies.

7.6 Just the Facts.

Chapter 8. Kinematics and Kinetics of Rigid Bodies in Three-Dimensional Motion.

8.1 Spherical Coordinates.

8.2 Angular Velocity of Rigid Bodies in Three-Dimensional Motion.

8.3 Angular Acceleration of Rigid Bodies in Three-Dimensional Motion.

8.4 General Motion of and on Three-Dimensional Bodies.

8.5 Moments and Products of Inertia for a Three-Dimensional Body.

8.6 Parallel Axis Expressions for Inertias.

8.7 Angular Momentum.

8.8 Equations of Motion for a Three-Dimensional Body.

8.9 Energy of Three-Dimensional Bodies.

8.10 Just the Facts.

Chapter 9. Vibratory Motions.

9.1 Undamped, Free Response for Single-Degree-of-Freedom Systems.

9.2 Undamped, Sinusoidally Forced Response for Single-Degree-of-Freedom Systems.

9.3 Damped, Free Response for Single-Degree-of-Freedom Systems.

9.4 Damped, Sinusoidally Forced Response for Single-Degree-of-Freedom Systems.

9.5 Just the Facts.

Appendix A. Numerical Integration Light.

Appendix B. Properties of Plane and Solid Bodies.

Appendix C. Some Useful Mathematical Facts.

Appendix D. Material Densities.

Bibliography.

Index.

About the Author

Benson H. Tongue, Ph.D., is a Professor of Mechanical Engineering at University of California-Berkeley. He received his Ph.D. from Princeton University in 1988, and currently teaches graduate and undergraduate courses in dynamics, vibrations, and control theory.
Dr. Tongue has served as Associate Technical Editor of the ASME Journal of Vibration and Acoustics as a member of the ASME Committee on Dynamics of Structures and Systems. He is the recipient of the NSF Presidential Young Investigator Award, the Sigma Xi Junior Faculty award, and the Pi Tau Sigma Excellence in Teaching award. He serves as a reviewer for numerous journals and funding agencies and is the author of more than eighty publications.