Engineering Mechanics: Dynamics

For courses in Dynamics. State-of-the-art in both perspective and approach, this text “puts the motion back into the presentation of dynamics.” Drawing on the power and widespread use of modern computational tools — e.g., MathCAD, MATLAB, Mathematica, and Maple — it is written from the point of view that the systems of interest are in motion and focuses on solving the dynamics problems for general time and plotting and visualizing the response.

Table of Contents:
Preview. Historical Introduction. Organization of the Study of Dynamics. Newton's Laws. 1. Kinematics of a Particle. Introduction. Rectilinear Motion of Particle: Single Degree of Freedom. Classification of the Kinematic or Dynamic Problem. Inverse Dynamics Problem. The Direct Dynamics Problem: Rectilinear Motion When the Acceleration is Given. Curvilinear Motion of a Particle. Normal and Tangential Coordinates. Radial and Transverse Coordinates (Polar Coordinates). Three-dimensional Coordinate Systems. Relative Rectilinear Motion of Several Particles. General Relative Motion between Particles. Dependent Motions Between Two or More Particles. Kinematic Parametric Equations. 2. Kinetics of Particles. Introduction. Solution Strategy for Particle Dynamics. Discontinuity and Singularity Functions. Normal and Tangential Coordinates. Two-dimensional Parametric Equations of Dynamics. Polar Coordinates. Three-dimensional Particle Dynamics in Curvilinear Coordinates. 3. Work-Energy and Impulse-Momentum First Integrals of Motion. Introduction. Power, Work and Energy. Conservative Forces and Potential Energy. Conservation of Energy. Principle of Impulse and Momentum. Impact. 4. System of Particles. Introduction. General Equations for a System of Particles. Center of Mass of a System of Particles. Kinetic Energy of a System of Particles. Work-Energy and Conservation of Energy of a System of Particles. Impulse and Momentum of System of Particles. Mass Flows. 5. Kinematics of Rigid Bodies. Introduction. Translation of Rigid Body. Rotation About a Fixed Axis. Planar Pure Rotation About and Axis Perpendicular to the Plane of Motion. General Plane Motion. Instantaneous Center of Rotation in Plane Motion. Instantaneous Center of Rotation Between Two Rigid Bodies. Absolute and Relative Acceleration of a Rigid Body in Plane Motion. Kinematics of a System of Rigid Bodies. Analysis of Plane Motion in Terms of a Parameter. General Three-dimensional Motion of Rigid Body. Instantaneous Helical Axis, or Screw Axis. Instantaneous Helical Axis of Rotation between Two Rigid Bodies. Motion with Respect to a Rotating Reference Frame or Coordinate System. 6. Dynamics of Rigid Bodies in Plane Motion. Introduction. Linear and Angular Momentum. Equations of Motion for Rigid Bodies in Plane Motion. Constraints on the Motion. Computational Methods for Plane Dynamic Systems. Systems of Rigid Bodies or Particles. D'Alembert's Principle. 7. Power, Work, Energy, Impulse, and Momentum of a Rigid Body. Power, Work, and Energy of a Rigid Body. Systems of Rigid Bodies and Particles. Conservation of Energy. Impulse and Momentum. Eccentric Impact on a Single Rigid Body. Eccentric Impact. 8. Three-Dimensional Dynamics of Rigid Bodies. Introduction. Rotational Transformation between Coordinate Systems. Eulerian Angles. Angular Motion. Joint Coordinate System. Equations of Motion. Euler's Equations of Motion. 9. Vibration. Introduction. Undamped Single-Degree-of-Freedom Systems. Damped Single-Degree-of-Freedom Systems. Forced Response and Resonance. Appendix A: Mass Moment of Inertia. Appendix B: Vector Calculus and Ordinary Differential Equations. Dynamics Index Dictionary. Answers to Odd-Numbered Problems. Index.