| Introduction to the Calculus of Vectors | p. 9 |
| Fundamental Ideas | p. 9 |
| Vectors | p. 12 |
| Summary of Vector Algebra | p. 14 |
| Velocity and Acceleration | p. 20 |
| Integration of Vector Functions | p. 25 |
| Vector Fields | p. 28 |
| Elements of Particle Kinematics | p. 28 |
| Rectangular Cartesian Coordinates | p. 29 |
| Normal and Tangential Coordinates | p. 41 |
| Plane and Cylindrical Polar Coordinates | p. 50 |
| Spherical Polar Coordinates | p. 57 |
| Theory of Particle Motion | p. 68 |
| Introduction | p. 68 |
| Newton's Laws of Motion; Mass and Force | p. 69 |
| Units | p. 81 |
| Impulse and Momentum | p. 88 |
| Impulsive Forces | p. 93 |
| Power, Work, and Kinetic Energy | p. 95 |
| Force Fields and Potential Energy | p. 104 |
| Mechanical Energy and Conservation of Energy | p. 118 |
| Applications in Particle Motion | p. 128 |
| Introduction | p. 128 |
| The Uniform Force Field | p. 129 |
| Simple Harmonic Motion | p. 136 |
| Effect of a Periodic Disturbing Force | p. 147 |
| Central Force Motion | p. 153 |
| Central Repulsive Force | p. 164 |
| Dissipative Forces | p. 166 |
| Dynamics of Particle Systems and Plane Rigid Bodies | p. 184 |
| Introduction | p. 184 |
| Relative Motion of Two Particles | p. 185 |
| Dynamics of Multiparticle Systems | p. 195 |
| Kinematics of Plane Rigid Bodies | p. 210 |
| Dynamics of Plane Systems | p. 230 |
| Impulse-Momentum Principles for Systems | p. 239 |
| The Work-Energy Principle for Particle Systems and Plane Rigid Bodies | p. 245 |
| Work and Energy for General Plane Systems; Real and Ideal Constraints | p. 257 |
| Technical Applications in Plane Motion | p. 281 |
| Introduction | p. 281 |
| Elementary Analysis; Force and Acceleration at Particular Instants | p. 282 |
| Impact and Impulsive Motion | p. 296 |
| Variable Mass | p. 313 |
| Conservative Systems | p. 318 |
| Rigid-Body Dynamics in Three Dimensions | p. 337 |
| Introduction to Rigid-Body Kinematics in Space | p. 337 |
| General Displacement of a Rigid Body; Finite Rotations and Euler's Theorem | p. 339 |
| Small Rotations of a Rigid Body; Angular Velocity | p. 344 |
| Rotating Coordinates; General Relative Motion Equations | p. 350 |
| The Angular Momentum of a Rigid Body; Moments and Products of Inertia | p. 367 |
| The Kinetic Energy of a Rigid Body; the Work-Energy Principle | p. 381 |
| Special Forms of the Dynamical Equations; Euler's Equations | p. 386 |
| Equilibrium of a Rigid Body | p. 389 |
| Three-Dimensional Applications of the Principles of Dynamics | p. 401 |
| Introduction | p. 401 |
| Effects of the Earth's Rotation on Particle Motion near the Surface | p. 402 |
| Fixed-Axis Rotation | p. 413 |
| Application of d'Alembert's Principle | p. 428 |
| Gyroscopic Effects | p. 433 |
| Intrinsic Equations of the Gyroscope | p. 448 |
| Description of Spatial Position: Euler's Angular Coordinates | p. 451 |
| The Principle of Virtual Work | p. 466 |
| Work, Energy, and Equilibrium | p. 466 |
| Equilibrium of a Particle | p. 468 |
| Equilibrium of Systems; The Rigid Body | p. 473 |
| Real Systems; Potential Energy | p. 484 |
| Stability of Equilibrium | p. 493 |
| Summary | p. 500 |
| Elements of the Theory of Mechanical Vibrations | p. 512 |
| Introduction | p. 512 |
| Free Vibrations of a Simple Mechanical System | p. 513 |
| Effect of a Disturbing Force | p. 523 |
| Effect of a Harmonic Disturbing Force | p. 526 |
| Multip;e-Degree-of-Freedom Mechanical Systems | p. 533 |
| The Analogies between Electrical and Mechanical Vibrations | p. 547 |
| Vector Algebra | p. 560 |
| Scalar and Vector Quantities | p. 560 |
| Vector Addition | p. 561 |
| Unit Vectors | p. 562 |
| The Scalar Product | p. 563 |
| The Vector Product | p. 564 |
| Triple Products | p. 565 |
| Properties of the Inertia Matrix | p. 569 |
| The Definition of the Inertia Matrix | p. 569 |
| The Parallel-Axis Transfer Theorems | p. 572 |
| The Rotation-of-Axes Transfer Theorems | p. 574 |
| Further Comments on the Determination of the Inertia Matrix | p. 583 |
| Summary | p. 585 |
| Inertia Properties of Uniform Bodies | p. 586 |
| Index | p. 609 |
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