Contents
12 Kinematics of a Particle
12.1 Introduction
12.2 Rectilinear Kinematics: Continuous Motion
12.3 Rectilinear Kinematics: Erratic Motion
12.4 General Curvilinear Motion
12.5 Curvilinear Motion: Rectangular Components
12.6 Motion of a Projectile
12.7 Curvilinear Motion: Normal and Tangential Components
12.8 Curvilinear Motion: Cylindrical Components
12.9 Absolute Dependent Motion Analysis of Two Particles
12.10 Relative-Motion of Two Particles Using Translating Axes
13 Kinetics of a Particle: Force and Acceleration
13.1 Newton’s Second Law of Motion
13.2 The Equation of Motion
13.3 Equation of Motion for a System of Particles
13.4 Equations of Motion: Rectangular Coordinates
13.5 Equations of Motion: Normal and Tangential Coordinates
13.6 Equations of Motion: Cylindrical Coordinates
*13.7 Central-Force Motion and Space Mechanics
14 Kinetics of a Particle: Work and Energy
14.1 The Work of a Force
14.2 Principle of Work and Energy
14.3 Principle of Work and Energy for a System of Particles
14.4 Power and Efficiency
14.5 Conservative Forces and Potential Energy
14.6 Conservation of Energy
15 Kinetics of a Particle: Impulse and Momentum
15.1 Principle of Linear Impulse and Momentum
15.2 Principle of Linear Impulse and Momentum for a System of Particles
15.3 Conservation of Linear Momentum for a System of Particles
15.4 Impact
15.5 Angular Momentum
15.6 Relation Between Moment of a Force and Angular Momentum
15.7 Principle of Angular Impulse and Momentum
15.8 Steady Flow of a Fluid Stream
*15.9 Propulsion with Variable Mass
16 Planar Kinematics of a Rigid Body
16.1 Planar Rigid-Body Motion
16.2 Translation
16.3 Rotation about a Fixed Axis
16.4 Absolute Motion Analysis
16.5 Relative-Motion Analysis: Velocity
16.6 Instantaneous Center of Zero Velocity
16.7 Relative-Motion Analysis: Acceleration
16.8 Relative-Motion Analysis using Rotating Axes
17 Planar Kinetics of a Rigid Body: Force and Acceleration
17.1 Mass Moment of Inertia
17.2 Planar Kinetic Equations of Motion
17.3 Equations of Motion: Translation
17.4 Equations of Motion: Rotation about a Fixed Axis
17.5 Equations of Motion: General Plane Motion
18 Planar Kinetics of a Rigid Body: Work and Energy
18.1 Kinetic Energy
18.2 The Work of a Force
18.3 The Work of a Couple Moment
18.4 Principle of Work and Energy
18.5 Conservation of Energy
19 Planar Kinetics of a Rigid Body: Impulse and Momentum
19.1 Linear and Angular Momentum
19.2 Principle of Impulse and Momentum
19.3 Conservation of Momentum
*19.4 Eccentric Impact
20 Three-Dimensional Kinematics of a Rigid Body
20.1 Rotation About a Fixed Point
*20.2 The Time Derivative of a Vector Measured from Either a Fixed or Translating-Rotating System
20.3 General Motion
*20.4 Relative-Motion Analysis Using Translating and Rotating Axes
21 Three-Dimensional Kinetics of a Rigid Body
*21.1 Moments and Products of Inertia 21.2 Angular Momentum
21.3 Kinetic Energy
*21.4 Equations of Motion
*21.5 Gyroscopic Motion
21.6 Torque-Free Motion
22 Vibrations
*22.1 Undamped Free Vibration
*22.3 Undamped Forced Vibration
*22.4 Viscous Damped Free Vibration
*22.5 Viscous Damped Forced Vibration
*22.6 Electrical Circuit Analogs
A Mathematical Expressions
B Vector Analysis
C The Chain Rule
Fundamental Problems Partial
Solutions and Answers
