Classical Mechanics: A Critical Introduction

✍ Scribed by Michael Cohen

• Publisher: Hindawi Publishing Corporation
• Year: 2012
• Tongue: English
• Leaves: 221
• Category: Library

✦ Synopsis

The motivation for writing this book was the belief that most introductory mechanics courses hurry through the basic concepts too quickly and that a more leisurely discussion would be helpful to many students.
Classical mechanics deals with the question of how an object moves when it is subjected to various forces and also with the question of which forces act on an object which is not moving. The practical importance of the subject hardly requires demonstration in a world which contains automobiles, buildings, airplanes, bridges, and ballistic missiles.

Anyone who studies mechanics will find the experience a true intellectual adventure and will acquire a permanent respect for the subtleties involved in applying “simple” concepts to the analysis of “simple” systems.

✦ Table of Contents

1.pdf
Advance Praise
Preface
Introduction
1. Kinematics: The Mathematical Description of Motion
1.1. Motion in One Dimension
1.2. Acceleration
1.3. Motion with Constant Acceleration
1.4. Motion in Two and Three Dimensions
1.5. Motion of a Freely Falling Body
1.6. Kinematics Problems
2. Newton's First and Third Laws: Statics of Particles
2.1. Newton's First Law: Forces
2.2. Inertial Frames
2.3. Quantitative Definition of Force: Statics of Particles
2.4. Examples of Static Equilibrium of Particles
2.5. Newton's Third Law
2.6. Ropes and Strings: The Meaning of ``Tension''
2.7. Friction
2.8. Kinetic Friction
2.9. Newton's First Law of Motion Problems
3. Newton's Second Law: Dynamics of Particles
3.1. Dynamics of Particles
3.2. Motion of Planets and Satellites: Newton's Law of Gravitation
3.3. Newton's 2nd Law of Motion Problems
4. Conservation and Nonconservation of Momentum
4.1. Principle of Conservation of Momentum
4.2. Center of Mass
4.3. Time-Averaged Force
4.4. Momentum Problems
5. Work and Energy
5.1. Definition of Work
5.2. The Work-Energy Theorem
5.3. Potential Energy
5.4. More General Significance of Energy (Qualitative Discussion)
5.5. Elastic and Inelastic Collisions
5.6. Power and Units of Work
5.7. Work and Conservation of Energy Problems
6. Simple Harmonic Motion
6.1. Hooke's Law and the Differential Equation for Simple Harmonic Motion
6.2. Solution by Calculus
6.3. Geometrical Solution of the Differential Equation of Simple Harmonic Motion: The Circle of Reference
6.4. Energy Considerations in Simple Harmonic Motion
6.5. Small Oscillations of a Pendulum
6.6. Simple Harmonic Oscillation Problems
7. Static Equilibrium of Simple Rigid Bodies
7.1. Definition of Torque
7.2. Static Equilibrium of Extended Bodies
7.3. Static Equilibrium Problems
8. Rotational Motion, Angular Momentum, and Dynamics of Rigid Bodies
8.1. Angular Momentum and Central Forces
8.2. Systems of More Than One Particle
8.3. Simple Rotational Motion Examples
8.4. Rolling Motion
8.5. Work-Energy for Rigid Body Dynamics
8.6. Rotational Motion Problems
9. Remarks on Newton's Law of Universal Gravitation—Contributed by Larry Gladney
9.1. Determination of g
9.2. Kepler's First Law of Planetary Motion
9.3. Gravitational Orbit Problems
. Appendices
A.
B.
C.
D.
E.
Bibliography
Index