商品簡介 Focusing on the conceptual understanding of mechanics, this exciting new text addresses developments in the methods of analyzing mechanics problems. It fully incorporates the highly sophisticated computational software packages currently available to students. The text provides transition material to higher level courses, as well as a wealth of problems to foster understanding. All sample problems and the use of computational software (Mathcad, MATLAB, Mathematica and Maple) are presented in four separate manuals (one for each software program). Each manual explains how to use the software package to solve the example problems in the book. 目次 1. Kinematics of a Particle Introduction / Rectilinear Motion of a Particle: Single Degree of Freedom / Classification of the Kinematics or Dynamics Problem / Inverse Dynamics Problem / The Direct Dynamics Problem: Rectilinear Motion When the Acceleration is Given / Classification of Differential Equations / Separable First Order Scalar Differential Equations / Special Rectilinear Motions / Solution of a Liner First Order Differential Equation by Use of An Integrating Factor / Second Order Linear Differential Equations / Numerical Solution of Differential Equations / Curvilinear Motion of a Particle / Vector Differential Equation / Projectile Motion / Normal and Tangential Coordinates / Circular Motion / Normal and Tangential Coordinates in Three Dimensions / Radial and Transverse Coordinates (Polar Coordinates) / Three-Dimensional Coordinate Systems / Cylindrical Coordinates / Spherical Coordinates / relative Rectilinear Motion of Several particles / General Relative Motion between Particles / Navigation using Relative Velocity / Dependent Motions Between Two or More Particles / Kinematic Parametric Equations / Trajectories Expressed as Function of Parameters / Parametric Equations for Three-Dimensional Trajectories 2. Kinetics of Particles Introduction / Equations of Motion for a Particle/ Solution Strategy for Particle Dynamics / Review of the Concepts of Static and Kinetic Friction / Determination of the Direction of the Normal and Friction Forces / Discontinuity and Singularity Functions / Normal and Tangential Coordinates / Two-Dimensional Parametric Equations of Dynamics / Polar Coordinates / Angular Momentum of a Particle / Central Force Motion / Three-Dimensional Particle Dynamics in Curvilinear Coordinates . Cylindrical Coordinates / Spherical Coordinates / Parametric Equations in Tangential, Normal and Binormal Coordinates 3. Work - Energy and Impulse - Momentum First Integrals of Motion Introduction / Power, Work and Energy / Work of a Spring Force / Work of the Gravitational Attraction Force Between Two Masses / Power and Efficiency / Conservative Forces and Potential Energy / Conservative Energy / Principle of Impulse and momentum . Impulse and Momentum of Several Particles / Impact / Direct Central Impact / Oblique Central Impact / Impact with a Stationary Object 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 / Mass Flows / Steady Mass Flow / Variable Mass Flow 5. Kinematics of Rigid Bodies Introduction / Translation of a Rigid Body / Rotation About a Fixed Axis / Planar Pure Rotation about an Axis Perpendicular to the Plane of Motion / Vector Relations for Rotation in a Plane / Constraints to the Motion / General Plane Motion / Absolute and Relative Velocities in Plane Motion of a Rigid Body / Experimental Motion Data / Angular Velocity for Noisy Experimental Data / Direct Vector Method to Obtain the Angular Velocity / 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 / Alternate Solution of the Acceleration of Rigid Bodies / Kinematics of a System of Rigid Bodies / Analysis of Plane Motion in Terms of a Parameter / General Three-Dimensional Motion of a Rigid Body / Linear and Angular Acceleration / Constraints to the General Three-Dimensional Motion of a Rigid Body / Rigid Body with a Fixed Point in Space / Other Constraints / Instantaneous Helical Axis, or Screw Axis / Motion of a Rigid Body Having a Fixed Point in Space / Instantaneous Helical Axis of Rotation between Two Rigid Bodies / Motion with Respect to 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 / Coordinate Transformations / Eulerian Angles / Angular Motion / Joint Coordinate System / Equations of Motion / Euler''s Equations of Motion / Stability of Rotation about a Principle Axis / Motion of an Axisymmetric Object / Heavy Axisymmetric Top / Gyroscopic Motion with Steady Procession / Motion of an Axisymmetric Body Subjected to no External Forces / The Gyroscope 9. Vibration Introduction / Undamped Single-Degree-of-Freedom Systems / Linear Vibration / Nonlinear Vibration / Damped Single-Degree-of-Freedom Systems / Undamped Motion / Overdamped Motion / Critically Damped Motion / Nonlinear Damping / Forced Response and Resonance Appendix A Mass Moment of Inertia Appendix B Vector Calculus and Ordinary Differential Equations Dynamics Index Dictionary Answers to Selected Problems