This textbook introduces undergraduate students to engineering dynamics using an innovative approach that is at once accessible and comprehensive. Combining the strengths of both beginner and advanced dynamics texts, this book has students solving dynamics problems from the very start and gradually guides them from the basics to increasingly more challenging topics without ever sacrificing rigor. Engineering Dynamicsspans the full range of mechanics problems, from one-dimensional particle kinematics to three-dimensional rigid-body dynamics, including an introduction to Lagrange's and Kane's methods. It skillfully blends an easy-to-read, conversational style with careful attention to the physics and mathematics of engineering dynamics, and emphasizes the formal systematic notation students need to solve problems correctly and succeed in more advanced courses. This richly illustrated textbook features numerous real-world examples and problems, incorporating a wide range of difficulty; ample use of MATLAB for solving problems; helpful tutorials; suggestions for further reading; and detailed appendixes. Provides an accessible yet rigorous introduction to engineering dynamics Uses an explicit vector-based notation to facilitate understanding Features numerous real-world examples and problems Instructor's manual (available only to teachers)

N. Jeremy Kasdin is professor of mechanical and aerospace engineering and lead investigator for the Terrestrial Planet Finder project at Princeton University. Derek A. Paley is assistant professor of aerospace engineering and director of the Collective Dynamics and Control Laboratory at the University of Maryland.

Preface	p. xi
Introduction	p. 1
What Is Dynamics?	p. 1
Organization of the Book	p. 6
Key Ideas	p. 8
Notes and Further Reading	p. 9
Problems	p. 10
Newtonian Mechanics	p. 11
Newton's Laws	p. 11
A Deeper Look at Newton's Second Law	p. 15
Building Models and the Free-Body Diagram	p. 19
Constraints and Degrees of Freedom	p. 21
A Discussion of Units	p. 24
Tutorials	p. 25
Key Ideas	p. 37
Notes and Further Reading	p. 38
Problems	p. 38
Particle Dynamics in the Plane
Planar Kinematics and Kinetics of a Particle	p. 45
The Simple Pendulum	p. 45
More on Vectors and Reference Frames	p. 47
Velocity and Acceleration in the Inertial Frame	p. 56
Inertial Velocity and Acceleration in a Rotating Frame	p. 66
The Polar Frame and Fictional Forces	p. 79
An Introduction to Relative Motion	p. 83
How to Solve a Dynamics Problem	p. 87
Derivations-Properties of the Vector Derivative	p. 88
Tutorials	p. 93
Key Ideas	p. 100
Notes and Further Reading	p. 101
Problems	p. 102
Linear and Angular Momentum of a Particle	p. 113
Linear Momentum and Linear Impulse	p. 113
Angular Momentum and Angular Impulse	p. 117
Tutorials	p. 131
Key Ideas	p. 141
Notes and Further Reading	p. 142
Problems	p. 143
Energy of a Particle	p. 148
Work and Power	p. 148
Total Work and Kinetic Energy	p. 153
Work Due to an Impulse	p. 158
Conservative Forces and Potential Energy	p. 159
Total Energy	p. 169
Derivations-Conservative Forces and Potential Energy	p. 172
Tutorials	p. 173
Key Ideas	p. 179
Notes and Further Reading	p. 180
Problems	p. 181
Planar Motion of a Multiparticle System
Linear Momentum of a Multiparticle System	p. 189
Linear Momentum of a System of Particles	p. 189
Impacts and Collisions	p. 205
Mass Flow	p. 220
Tutorials	p. 228
Key Ideas	p. 235
Notes and Further Reading	p. 237
Problems	p. 237
Angular Momentum and Energy of a Multiparticle System	p. 245
Angular Momentum of a System of Particles	p. 245
Angular Momentum Separation	p. 252
Total Angular Momentum Relative to an Arbitrary Point	p. 259
Work and Energy of a Multiparticle System	p. 263
Tutorials	p. 274
Key Ideas	p. 285
Notes and Further Reading	p. 287
Problems	p. 288
Relative Motion and Rigid-Body Dynamics in Two Dimensions
Relative Motion in a Rotating Frame	p. 295
Rotational Motion of a Planar Rigid Body	p. 295
Relative Motion in a Rotating Frame	p. 302
Planar Kinetics in a Rotating Frame	p. 311
Tutorials	p. 318
Key Ideas	p. 328
Notes and Further Reading	p. 329
Problems	p. 330
Dynamics of a Planar Rigid Body	p. 337
A Rigid Body Is a Multiparticle System	p. 337
Translation of the Center of Mass-Euler's First Law	p. 340
Rotation about the Center of Mass- Euler's Second Law	p. 343
Rotation about an Arbitrary Body Point	p. 360
Work and Energy of a Rigid Body	p. 368
A Collection of Rigid Bodies and Particles	p. 376
Tutorials	p. 385
Key Ideas	p. 394
Notes and Further Reading	p. 397
Problems	p. 398
Dynamics in Three Dimensions
Particle Kinematics and Kinetics in Three Dimensions	p. 409
Two New Coordinate Systems	p. 409
The Cylindrical and Spherical Reference Frames	p. 413
Linear Momentum, Angular Momentum, and Energy	p. 422
Relative Motion m Three Dimensions	p. 426
Derivations-Euler's Theorem and the Angular Velocity	p. 445
Tutorials	p. 450
Key Ideas	p. 458
Notes and Further Reading	p. 459
Problems	p. 460
Multiparticle and Rigid-Body Dynamics in Three Dimensions	p. 465
Euler's Laws in Three Dimensions	p. 465
Three-Dimensional Rotational Equations of Motion of a Rigid Body	p. 472
The Moment Transport Theorem and the Parallel Axis Theorem in Three Dimensions	p. 495
Dynamics of Multibody Systems in Three Dimensions	p. 502
Rotating the Moment of Inertia Tensor	p. 504
Angular Impulse in Three Dimensions	p. 509
Work and Energy of a Rigid Body in Three Dimensions	p. 510
Tutorials	p. 515
Key Ideas	p. 523
Notes and Further Reading	p. 526
Problems	p. 527
Advanced Topics
Some Important Examples	p. 537
An Introduction to Vibrations and Linear Systems	p. 537
Linearization and the Linearized Dynamics of an Airplane	p. 551
Impacts of Finite-Sized Particles	p. 568
Key Ideas	p. 578
Notes and Further Reading	p. 579
An Introduction to Analytical Mechanics	p. 580
Generalized Coordinates	p. 580
Degrees of Freedom and Constraints	p. 583
Lagrange's Method	p. 589
Kane's Method	p. 605
Key Ideas	p. 618
Notes and Further Reading	p. 619
Appendices
A Brief Review of Calculus	p. 623
Continuous Functions	p. 623
Differentiation	p. 624
Integration	p. 626
Higher Derivatives and the Taylor Series	p. 627
Multivariable Functions and the Gradient	p. 629
The Directional Derivative	p. 632
Differential Volumes and Multiple Integration	p. 633
Vector Algebra and Useful Identities	p. 635
The Vector	p. 635
Vector Magnitude	p. 637
Vector Components	p. 637
Vector Multiplication	p. 638
Differential Equations	p. 645
What Is a Differential Equation?	p. 645
Some Common ODEs and Their Solutions	p. 647
First-Order Form	p. 650
Numerical Integration of an Initial Value Problem	p. 651
Using Matlab to Solve ODEs	p. 657
Moments of Inertia of Selected Bodies	p. 660
Bibliography	p. 663
Index	p. 667
Table of Contents provided by Ingram. All Rights Reserved.

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Engineering Dynamics

9780691135373

0691135371

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