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Preface | ||
About the Authors | ||
Introduction | 2 | |
Engineering and Mechanics | 4 | |
Learning Mechanics | 4 | |
Fundamental Concepts | 5 | |
Units | 8 | |
Newtonian Gravitation | 13 | |
Motion of a Point | 18 | |
Position, Velocity, and Acceleration | 20 | |
Straight-Line Motion | 22 | |
Curvilinear Motion | 43 | |
Force, Mass, and Acceleration | 94 | |
Newton's Second Law | 96 | |
Equation of Motion for the Center of Mass | 96 | |
Inertial Reference Frames | 98 | |
Applications | 99 | |
Orbital Mechanics | 132 | |
Numerical Solutions | 138 | |
Energy Methods | 150 | |
Principle of Work and Energy | 152 | |
Work and Power | 153 | |
Work Done by Particular Forces | 163 | |
Conservation of Energy | 177 | |
Conservative Forces | 178 | |
Relationship between Force and Potential Energy | 192 | |
Momentum Methods | 206 | |
Principle of Impulse and Momentum | 208 | |
Conservation of Linear Momentum | 219 | |
Impacts | 222 | |
Angular Momentum | 234 | |
Mass Flows | 239 | |
Planar Kinematics of Rigid Bodies | 256 | |
Rigid Bodies and Types of Motion | 258 | |
Rotation about a Fixed Axis | 260 | |
General Motions: Velocities | 265 | |
General Motions: Accelerations | 286 | |
Sliding Contacts | 297 | |
Moving Reference Frames | 309 | |
Planar Dynamics of Rigid Bodies | 330 | |
Preview of the Equations of Motion | 332 | |
Momentum Principles for a System of Particles | 332 | |
Derivation of the Equations of Motion | 335 | |
Applications | 337 | |
Numerical Solutions | 364 | |
App | Moments of Inertia | 368 |
Energy and Momentum in Rigid-Body Dynamics | 388 | |
Principle of Work and Energy | 390 | |
Kinetic Energy | 391 | |
Work and Potential Energy | 393 | |
Power | 401 | |
Principles of Impulse and Momentum | 409 | |
Impacts | 419 | |
Three-Dimensional Kinematics and Dynamics of Rigid Bodies | 442 | |
Kinematics | 444 | |
Euler's Equations | 456 | |
The Euler Angles | 473 | |
App | Moments and Products of Inertia | 486 |
Vibrations | 506 | |
Conservative Systems | 508 | |
Damped Vibrations | 522 | |
Forced Vibrations | 530 | |
App. A | Review of Mathematics | 548 |
App. B | Properties of Areas and Lines | 551 |
App. C | Properties of Volumes and Homogeneous Objects | 553 |
App. D | Spherical Coordinates | 555 |
App. E | D'Alembert's Principle | 556 |
Answers to Even-Numbered Problems | 559 | |
Index | 569 |
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