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Engineering MechanicsDynamicsby J. L. Meriam
Synopses & ReviewsPublisher Comments:Over the past 50 years, Meriam & Kraige's Engineering Mechanics: Dynamics has established a highly respected tradition of excellencea tradition that emphasizes accuracy, rigor, clarity, and applications. Now in a Sixth Edition, this classic text builds on these strengths adding a comprehensive course management system, Wiley Plus, to the text, including an etext, homework management, animations of concepts, and additional teaching and learning resources. New sample problems, new homework problems, and updates to content make the book more accessible. The Sixth Edition continues to provide a wide variety of high quality problems that are known for their accuracy, realism, applications, and variety motivating students to learn and develop their problem solving skills. To build necessary visualization and problemsolving skills, the Sixth Edition continues to offer comprehensive coverage of drawing free body diagrams the most important skill needed to solve mechanics problems.
Course Hierarchy: One semester course taught sophomore year. Course is called Engineering Mechanics: Dynamics Most often found in Mechanical Engineering Synopsis:Over the past 50 years, Meriam & Kraige's Engineering Mechanics has established a highly respected tradition of excellence. Readers turn to this book because of its emphasis on accuracy, rigor, clarity, and applications. The new sixth edition continues this tradition while also improving the accessibility of the material. The explanations of concepts are now easier to understand and more worked examples have been incorporated throughout the pages.
Synopsis:Known for its accuracy, clarity, and applications, Meriam & Kraige’s Engineering Mechanics: Dynamics has provided a solid foundation of mechanics principles for more than 50 years. Now in its new Sixth Edition, the text continues to help students develop their problemsolving skills with an extensive variety of highly interesting problems related to engineering design. In the new edition, more than 40% of the homework problems are new. There are also new sample problem and more photographs that link theory to application. To help students build necessary visualization and problemsolving skills, the text strongly emphasizes drawing freebody diagrams—the most important skill needed to solve mechanics problems.
About the AuthorGlenn Kraige is Professor in the Department of Engineering Science and Mechanics at Virginia Tech. He is a fellow member of the American Society for Engineering Education, and received his Ph. D. in Aerospace Engineering from the University of Virginia.
Table of ContentsPART I. DYNAMICS OF PARTICLES.
CHAPTER 1. INTRODUCTION TO DYNAMICS. 1/1 History and Modern Applications. History of Dynamics. Applications of Dynamics. 1/2 Basic Concepts. 1/3 Newton’s Laws. 1/4 Units. 1/5 Gravitation. Effect of Altitude. Effect of a Rotating Earth. Standard Value of g. Apparent Weight. 1/6 Dimensions. 1/7 Solving Problems in Dynamics. Approximation in Mathematical Models. Method of Attack. Application of Basic Principles. Numerical versus Symbolic Solutions. Solution Methods. 1/8 Chapter Review. CHAPTER 2. KINEMATICS OF PARTICLES. 2/1 Introduction. Particle Motion. Choice of Coordinates. 2/2 Rectilinear Motion. Velocity and Acceleration. Graphical Interpretations. Analytical Integration. 2/3 Plane Curvilinear Motion. Velocity. Acceleration. Visualization of Motion. 2/4 Rectangular Coordinates (xy). Vector Representation. Projectile Motion. 2/5 Normal and Tangential Coordinates (nt). Velocity and Acceleration. Geometric Interpretation. Circular Motion. 2/6 Polar Coordinates (r). Time Derivatives of the Unit Vectors. Velocity. Acceleration. Geometric Interpretation. Circular Motion. 2/7 Space Curvilinear Motion. Rectangular Coordinates (xyz). Cylindrical Coordinates (rz). Spherical Coordinates (R). 2/8 Relative Motion (Translating Axes). Choice of Coordinate System. Vector Representation. Additional Considerations. 2/9 Constrained Motion of Connected Particles. One Degree of Freedom. Two Degrees of Freedom. 2/10 Chapter Review. CHAPTER 3. KINETICS OF PARTICLES. 3/1 Introduction. SECTION A. FORCE, MASS, AND ACCELERATION. 3/2 Newton’s Second Law. Inertial System. Systems of Units. Force and Mass Units. 3/3 Equation of Motion and Solution of Problems. Two Types of Dynamics Problems. Constrained and Unconstrained Motion. FreeBody Diagram. 3/4 Rectilinear Motion. 3/5 Curvilinear Motion. SECTION B. WORK AND ENERGY. 3/6 Work and Kinetic Energy. Definition of Work. Units of Work. Calculation of Work. Examples of Work. Work and Curvilinear Motion. Principle of Work and Kinetic Energy. Advantages of the WorkEnergy Method. Power. Efficiency. 3/7 Potential Energy. Gravitational Potential Energy. Elastic Potential Energy. WorkEnergy Equation. Conservative Force Fields. SECTION C. IMPULSE AND MOMENTUM. 3/8 Introduction. 3/9 Linear Impulse and Linear Momentum. The Linear ImpulseMomentum Principle. Conservation of Linear Momentum. 3/10 Angular Impulse and Angular Momentum. Rate of Change of Angular Momentum. The Angular ImpulseMomentum Principle. PlaneMotion Applications. Conservation of Angular Momentum. SECTION D. SPECIAL APPLICATIONS. 3/11 Introduction. 3/12 Impact. Direct Central Impact. Coefficient of Restitution. Energy Loss During Impact. Oblique Central Impact. 3/13 CentralForce Motion. Motion of a Single Body. Conic Sections. Energy Analysis. Summary of Assumptions. Perturbed TwoBody Problem. Restricted TwoBody Problem. 3/14 Relative Motion. RelativeMotion Equation. D’Alembert’s Principle. ConstantVelocity, Nonrotating Systems. 3/15 Chapter Review. CHAPTER 4. KINETICS OF SYSTEMS OF PARTICLES. 4/1 Introduction. 4/2 Generalized Newton’s Second Law. 4/3 WorkEnergy. WorkEnergy Relation. Kinetic Energy Expression. 4/4 ImpulseMomentum. Linear Momentum. Angular Momentum. 4/5 Conservation of Energy and Momentum. Conservation of Energy. Conservation of Momentum. 4/6 Steady Mass Flow. Analysis of Flow Through a Rigid Container. Incremental Analysis. Angular Momentum in SteadyFlow Systems. 4/7 Variable Mass. Equation of Motion. Alternative Approach. Application to Rocket Propulsion. 4/8 Chapter Review. PART II. DYNAMICS OF RIGID BODIES. CHAPTER 5. PLANE KINEMATICS OF RIGID BODIES. 5/1 Introduction. RigidBody Assumption. Plane Motion. 5/2 Rotation. AngularMotion Relations. Rotation about a Fixed Axis. 5/3 Absolute Motion. 5/4 Relative Velocity. Relative Velocity Due to Rotation. Interpretation of the RelativeVelocity Equation. Solution of the RelativeVelocity Equation. 5/5 Instantaneous Center of Zero Velocity. Locating the Instantaneous Center. Motion of the Instantaneous Center. 5/6 Relative Acceleration. Relative Acceleration Due to Rotation. Interpretation of the RelativeAcceleration Equation. Solution of the RelativeAcceleration Equation. 5/7 Motion Relative to Rotating Axes. Time Derivatives of Unit Vectors. Relative Velocity. Transformation of a Time Derivative. Relative Acceleration. Coriolis Acceleration. Rotating versus Nonrotating Systems. 5/8 Chapter Review. CHAPTER 6. PLANE KINETICS OF RIGID BODIES. 6/1 Introduction. Background for the Study of Kinetics. Organization of the Chapter. SECTION A. FORCE, MASS, AND ACCELERATION. 6/2 General Equations of Motion. PlaneMotion Equations. Alternative Derivation. Alternative Moment Equations. Unconstrained and Constrained Motion. Systems of Interconnected Bodies. Analysis Procedure. 6/3 Translation. 6/4 FixedAxis Rotation. 6/5 General Plane Motion. Solving PlaneMotion Problems. SECTION B. WORK AND ENERGY. 6/6 WorkEnergy Relations. Work of Forces and Couples. Kinetic Energy. Potential Energy and the WorkEnergy Equation. Power. 6/7 Acceleration from WorkEnergy; Virtual Work. WorkEnergy Equation for Differential Motions. Virtual Work. SECTION C. IMPULSE AND MOMENTUM. 6/8 ImpulseMomentum Equations. Linear Momentum. Angular Momentum. Interconnected Rigid Bodies. Conservation of Momentum. Impact of Rigid Bodies. 6/9 Chapter Review. CHAPTER 7. INTRODUCTION TO THREEDIMENSIONAL DYNAMICS OF RIGID BODIES. 7/1 Introduction. SECTION A. KINEMATICS. 7/2 Translation. 7/3 FixedAxis Rotation. 7/4 ParallelPlane Motion. 7/5 Rotation about a Fixed Point. Rotation and Proper Vectors. Instantaneous Axis of Rotation. Body and Space Cones. Angular Acceleration. 7/6 General Motion. Translating Reference Axes. Rotating Reference Axes. SECTION B. KINETICS. 7/7 Angular Momentum. Moments and Products of Inertia. Principal Axes. Transfer Principle for Angular Momentum. 7/8 Kinetic Energy. 7/9 Momentum and Energy Equations of Motion. Momentum Equations. Energy Equations. 7/10 ParallelPlane Motion. 7/11 Gyroscopic Motion: Steady Precession. Simplified Approach. More Detailed Analysis. SteadyState Precession. Steady Precession with Zero Moment. 7/12 Chapter Review. CHAPTER 8. VIBRATION AND TIME RESPONSE. 8/1 Introduction. 8/2 Free Vibration of Particles. Equation of Motion for Undamped Free Vibration. Solution for Undamped Free Vibration. Graphical Representation of Motion. Equilibrium Position as Reference. Equation of Motion for Damped Free Vibration. Solution for Damped Free Vibration. Categories of Damped Motion. Determination of Damping by Experiment. 8/3 Forced Vibration of Particles. Harmonic Excitation. Base Excitation. Undamped Forced Vibration. Damped Forced Vibration. Magnification Factor and Phase Angle. Applications. Electric Circuit Analogy. 8/4 Vibration of Rigid Bodies. Rotational Vibration of a Bar. Rotational Counterparts of Translational Vibration. 8/5 Energy Methods. Determining the Equation of Motion. Determining the Frequency of Vibration. 8/6 Chapter Review. APPENDICES. APPENDIX A . AREA MOMENTS OF INERTIA. APPENDIX B . MASS MOMENTS OF INERTIA. B/1 Mass Moments of Inertia about an Axis. Radius of Gyration. Transfer of Axes. Composite Bodies. B/2 Products of Inertia. Principal Axes of Inertia. APPENDIX C . SELECTED TOPICS OF MATHEMATICS. C/1 Introduction. C/2 Plane Geometry. C/3 Solid Geometry. C/4 Algebra. C/5 Analytic Geometry. C/6 Trigonometry. C/7 Vector Operations. C/8 Series. C/9 Derivatives. C/10 Integrals. C/11 Newton’s Method for Solving Intractable Equations. C/12 Selected Techniques for Numerical Integration. APPENDIX D. USEFUL TABLES. Table D/1 Physical Properties. Table D/2 Solar System Constants. Table D/3 Properties of Plane Figures. Table D/4 Properties of Homogeneous Solids. INDEX. 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