Introduction -- 1 Motion of a PointMass -- 1.1 Kinematics -- 1.1.1 Velocity and Acceleration -- 1.1.2 Velocity and Acceleration in Cartesian Coordinates -- 1.1.3 Rectilinear Motion -- 1.1.4 Planar Motion, Polar Coordinates -- 1.1.5 Three-Dimensional Motion, Serret-Frenet Frame -- 1.2 Kinetics -- 1.2.1 Newton’s Laws -- 1.2.2 Free Motion, Projectiles -- 1.2.3 Constrained Motion -- 1.2.4 Resistance/Drag Forces -- 1.2.5 Impulse Law and Linear Momentum, Impact -- 1.2.6 Angular Momentum Theorem -- 1.2.7 Work-Energy Theorem, Potential Energy, Conservation of Energy -- 1.2.8 Universal Law of Gravitation, Planetary and SatelliteMotion -- 1.3 Supplementary Examples -- 1.4 Summary -- 2 Dynamics of Systems of Point Masses -- 2.1 Fundamentals -- 2.2 Linear Momentum for a System of Point Masses -- 2.3 AngularMomentum Theorem for a System of Point Masses -- 2.4 Work-Energy Theorem, Conservation of Energy for a System of Point Masse.s -- 2.5 Central Impact -- 2.6 Bodies with Variable Mass -- 2.7 Supplementary Examples -- 2.8 Summary -- 3 Dynamics of Rigid Bodies -- 3.1 Kinematics -- 3.1.1 Translation -- 3.1.2 Rotation -- 3.1.3 General Motion -- 3.1.4 Instantaneous Center of Rotation -- 3.2 Kinetics of the Rotation about a Fixed Axis -- 3.2.1 Principle of Angular Momentum -- 3.2.2 Mass Moment of Inertia -- 3.2.3 Work, Energy, Power -- 3.3 Kinetics of a Rigid Body in Plane Motion -- 3.3.1 Principles of Linear and Angular Momentum -- 3.3.2 Impulse Laws, Work-Energy Theorem and Conservation of Energy -- 3.3.3 Eccentric Impact -- 3.4 Kinetics of a Rigid Body in Three Dimensional Motion -- 3.4.1 Principles of Linear and Angular Momentum -- 3.4.2 Angular Momentum, Inertia Tensor, Euler’s Equations -- 3.4.3 Support Reactions in Plane Motion -- 3.4.4 The Torque-Free Gyroscope -- 3.5 Supplementary Examples -- 3.6 Summary -- 4 Principles of Mechanics -- 4.1 Formal Reduction of Kinetics to Statics -- 4.2 D’Alembert’s Principle -- 4.3 Lagrange Equations of the 2nd Kind -- 4.4 Supplementary Examples -- 4.5 Summary -- 5 Vibrations -- 5.1 Basic Concepts -- 5.2 Free Vibrations -- 5.2.1 Undamped Free Vibrations -- 5.2.2 Spring Constants of Elastic Systems -- 5.2.3 Damped Free Vibrations -- 5.3 Forced Vibrations -- 5.3.1 Undamped Forced Vibrations -- 5.3.2 Damped Forced Vibrations -- 5.4 Systems with two Degrees of Freedom -- 5.4.1 Free Vibrations -- 5.4.2 Forced Vibrations -- 5.5 Supplementary Examples -- 5.6 Summary -- 6 Non-Inertial Reference Frames -- 6.1 Kinematics of Relative Motion -- 6.1.1 Translating Reference Frames -- 6.1.2 Translating and Rotating Reference Frames -- 6.2 Kinetics of Relative Motion -- 6.3 Supplementary Examples -- 6.4 Summary -- 7 Numerical Simulation -- 7.1 Introduction -- 7.2 First-Order Initial-Value Problems -- 7.3 Second-Order Initial-Value Problems -- 7.4 Supplementary Examples -- 7.5 Summary -- Appendix: Numerical Integration -- Index.