# Dynamics Study Pack for Engineering Mechanics Dynamics

**by**Hibbeler, Russell C.

### 9780136091950

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## Summary

## Table of Contents

Contents** **

**Part I Section-by-Section, Chapter-by-Chapter Summaries**

with Review Questions and Answers 1

12 **Kinematics of a Particle 3**

Main Goals of this Chapter: **3**

12.1 Introduction **3**

12.2 Rectilinear Kinematics: Continuous Motion **4**

12.3 Rectilinear Kinematics: Erratic Motion **5**

12.4 General Curvilinear Motion **5**

12.5 Curvilinear Motion: Rectangular Components **6**

12.6 Motion of a Projectile **7**

12.7 Curvilinear Motion: Normal and Tangential Components **7**

12.8 Curvilinear Motion: Cylindrical Components **8**

12.9 Absolute Dependent Motion Analysis of Two Particles **9**

12.10 Relative-Motion of Two Particles Using Translating Axes **10**

Helpful Tips and Suggestions **11**

Review Questions **11**

** **

13 **Kinetics of a Particle: Force and Acceleration 12**

Main Goals of this Chapter: **12**

13.1 Newton’s Second Law of Motion **12**

13.2 The Equation of Motion **13**

13.3 Equation of Motion for a System of Particles **13**

13.4 Equations of Motion: Rectangular Coordinates **13**

13.5 Equations of Motion: Normal and Tangential Coordinates **15**

13.6 Equations of Motion: Cylindrical Coordinates **16**

13.7 Central-Force Motion and Space Mechanics **17**

Helpful Tips and Suggestions **18**

Review Questions **18**

** **

14 **Kinetics of a Particle: Work and Energy 19**

Main Goals of this Chapter: **19**

14.1 TheWork of a Force **19**

14.2 Principle of Work and Energy **21**

14.3 Principle of Work and Energy for a System of Particles **22**

14.4 Power and Efficiency **22**

14.5 Conservative Forces and Potential Energy **23**

14.6 Conservation of Energy **24**

Helpful Tips and Suggestions **24**

Review Questions **24**

** **

15 **Kinetics of a Particle: Impulse and Momentum 25**

Main Goals of this Chapter: **25**

15.1 Principle of Linear Impulse and Momentum **25**

15.2 Principle of Linear Impulse and Momentum for a System of Particles **26**

15.3 Conservation of Linear Momentum for a System of Particles **27**

15.4 Impact **28**

15.5 Angular Momentum **29**

15.6 Relation Between Moment of a Force and Angular Momentum **30**

15.7 Angular Impulse and Momentum Principles **30**

15.8 Steady Fluid Streams **32**

15.9 Propulsion with Variable Mass **32**

Helpful Tips and Suggestions **33**

Review Questions **33**

** **

16 **Planar Kinematics of a Rigid Body 34**

Main Goals of this Chapter: **34**

16.1 Planar Rigid-Body Motion **34**

16.2 Translation **35**

16.3 Rotation about a Fixed Axis **36**

16.4 Absolute Motion Analysis **38**

16.5 Relative Motion Analysis: Velocity **39**

16.6 Instantaneous Center of Zero Velocity **39**

16.7 Relative-Motion Analysis:Acceleration **41**

16.8 Relative-Motion Analysis Using Rotating Axes **42**

Helpful Tips and Suggestions **43**

Review Questions **43**

** **

17 **Planar Kinetics of a Rigid Body: Force and Acceleration 44**

Main Goals of this Chapter: **44**

17.1 Moment of Inertia **44**

17.2 Planar Kinetic Equations of Motion **45**

17.3 Equations of Motion: Translation **46**

17.4 Equations of Motion: Rotation About a Fixed Axis **47**

17.5 Equations of Motion: General Plane Motion **49**

Helpful Tips and Suggestions **50**

Review Questions **50**

** **

18 **Planar Kinetics of a Rigid Body: Work and Energy 51**

Main Goals of this Chapter: **51**

18.1 Kinetic Energy **51**

18.2 TheWork of a Force **52**

18.3 TheWork of a Couple **52**

18.4 Principle of Work and Energy **53**

18.5 Conservation of Energy **53**

Helpful Tips and Suggestions **54**

Review Questions **54**

** **

19 **Planar Kinetics of a Rigid Body: Impulse and Momentum 55**

Main Goals of this Chapter: **55**

19.1 Linear and Angular Momentum **55** ** **

19.2 Principle of Impulse and Momentum **57**

19.3 Conservation of Momentum **58**

19.4 Eccentric Impact **59**

Helpful Tips and Suggestions **59**

Review Questions **60**

** **

20 **Three-Dimensional Kinematics of a Rigid Body 61**

Main Goals of this Chapter: **61**

20.1 Rotation About a Fixed Point **61**

20.2 The Time derivative of a Vector Measured from Either a Fixed or Translating-Rotating System **62**

20.3 General Motion **63**

20.4 Relative-Motion Analysis Using Translating and Rotating Axes **63**

Helpful Tips and Suggestions **64**

Review Questions **65**

** **

21 **Three-Dimensional Kinetics of a Rigid Body 66**

Main Goals of this Chapter: **66**

21.1 Moments and Products of Inertia **66**

21.2 Angular Momentum **69**

21.3 Kinetic Energy **69**

21.4 Equations of Motion **70**

21.5 Gyroscopic Motion **72**

21.6 Torque-Free Motion **74**

Helpful Tips and Suggestions **75**

Review Questions **75**

** **

22 **Vibrations 76**

Main Goals of this Chapter: **76**

22.1 Undamped Free Vibration **76**

22.2 Energy Methods **78**

22.3 Undamped Forced Vibration **79**

22.4 Viscous Damped Free Vibration **79**

22.5 Viscous Damped Forced Vibration **81**

Helpful Tips and Suggestions **81**

Review Questions **81**

** **

ANSWERS TO REVIEW QUESTIONS 82

**Part II Free-Body Diagram Workbook 89**

1 **Basic Concepts in Dynamics 91**

1.1 Equations of Motion **91**

2 **Free-Body Diagrams: the Basics 93**

2.1 Free-Body Diagram: Particle **93**

2.2 Free-Body Diagram: Rigid Body **95**

3 **Problems 99**

3.1 Free-Body Diagrams in Particle Kinetics **101**

3.2 Free-Body Diagrams in Rigid Body Kinetics **121**