Contents12 Kinematics of a Particle12.1 Introduction12.2 Rectilinear Kinematics: Continuous Motion12.3 Rectilinear Kinematics: Erratic Motion12.4 General Curvilinear Motion12.5 Curvilinear Motion: Rectangular Components12.6 Motion of a Projectile12.7 Curvilinear Motion: Normal and Tangential Components12.8 Curvilinear Motion: Cylindrical Components12.9 Absolute Dependent Motion Analysis of Two Particles12.10 Relative-Motion of Two Particles Using Translating Axes13 Kinetics of a Particle: Force andAcceleration13.1 Newton’s Second Law of Motion13.2 The Equation of Motion13.3 Equation of Motion for a Systemof Particles13.4 Equations of Motion: Rectangular Coordinates13.5 Equations of Motion: Normaland Tangential Coordinates13.6 Equations of Motion: Cylindrical Coordinates*13.7 Central-Force Motion and Space Mechanics14 Kinetics of a Particle: Work andEnergy14.1 The Work of a Force14.2 Principle of Work and Energy14.3 Principle of Work and Energy for a System of Particles14.4 Power and Efficiency14.5 Conservative Forces and Potential Energy14.6 Conservation of Energy15 Kinetics of a Particle: Impulseand Momentum15.1 Principle of Linear Impulse and Momentum15.2 Principle of Linear Impulse and Momentum for a System of Particles15.3 Conservation of Linear Momentum for a System of Particles15.4 Impact15.5 Angular Momentum15.6 Relation Between Moment of a Force and Angular Momentum15.7 Principle of Angular Impulse and Momentum15.8 Steady Flow of a Fluid Stream*15.9 Propulsion with Variable Mass16 Planar Kinematics of a RigidBody16.1 Planar Rigid-Body Motion16.2 Translation16.3 Rotation about a Fixed Axis16.4 Absolute Motion Analysis16.5 Relative-Motion Analysis: Velocity16.6 Instantaneous Center of Zero Velocity16.7 Relative-Motion Analysis: Acceleration16.8 Relative-Motion Analysis using Rotating Axes17 Planar Kinetics of a Rigid Body:Force and Acceleration17.1 Mass Moment of Inertia17.2 Planar Kinetic Equations of Motion17.3 Equations of Motion: Translation17.4 Equations of Motion: Rotation about a Fixed Axis17.5 Equations of Motion: General Plane Motion18 Planar Kinetics of a Rigid Body:Work and Energy18.1 Kinetic Energy18.2 The Work of a Force18.3 The Work of a Couple Moment18.4 Principle of Work and Energy18.5 Conservation of Energy19 Planar Kinetics of a Rigid Body:Impulse and Momentum19.1 Linear and Angular Momentum19.2 Principle of Impulse and Momentum19.3 Conservation of Momentum*19.4 Eccentric Impact20 Three-Dimensional Kinematics ofa Rigid Body20.1 Rotation About a Fixed Point*20.2 The Time Derivative of a Vector Measured from Either a Fixedor Translating-Rotating System20.3 General Motion*20.4 Relative-Motion Analysis Using Translating and Rotating Axes21 Three-Dimensional Kinetics of aRigid Body*21.1 Moments and Products of Inertia21.2 Angular Momentum21.3 Kinetic Energy*21.4 Equations of Motion*21.5 Gyroscopic Motion21.6 Torque-Free Motion22 Vibrations*22.1 Undamped Free Vibration*22.2 Energy Methods*22.3 Undamped Forced Vibration*22.4 Viscous Damped Free Vibration*22.5 Viscous Damped Forced Vibration*22.6 Electrical Circuit AnalogsA Mathematical ExpressionsB Vector AnalysisC The Chain RuleFundamental Problem
