Book description
Mechanics meets the requirement for an ideal text on Mechanics for undergraduate students. The book gives the readers a better understanding of topics like Rectilinear Motion, Conservation of Energy and Equation of Motion, provides a good number of examples with good use of realtime illustrations and exercises for practice and challenge. The book comprehensively covers topics like Newton's Law of Motion, Conservation Laws of momentum, Energy and Law of Gravitation and includes 180 workedout examples and 185 endofchapter exercises.
Table of contents
 Cover
 Title Page
 Contents
 Dedication
 Preface
 1 ■ Introduction

2 ■ Velocity and Acceleration in Rectilinear Motion
 2.1 DisplacementTime Graph
 2.2 Velocity of a Particle
 2.3 Acceleration
 2.4 Simple Harmonic Motion
 2.5 Worked Out Examples I
 2.6 Obtaining, T and X, Trelations from Areas of AT and VT Graphs
 2.7 Standard Kinematical Relations for Constant Acceleration
 2.8 Velocity and Displacement for a Harmonically Varying Acceleration
 2.9 Worked Out Examples II
 ■ Summary
 ■ Exercises

3 ■ Vectors in Physics. Velocity and Acceleration as Vectors
 3.1 Knowing Vectors by their Properties
 3.2 Is Vector Just a Directed Straight Line?
 3.3 Mathematical Representation of Vectors
 3.4 The Displacement Vector
 3.5 Magnitude of a Vector
 3.6 Radius Vector as a Function of Time
 3.7 The Velocity Vector
 3.8 Infinitesimal Displacement, Line Element, Speed
 3.9 Acceleration
 3.10 Worked Out Examples I
 3.11 Centripetal Acceleration in Uniform Circular Motion
 3.12 Combination of Normal and Tangential Accelerations in Nonuniform Circular Motion
 3.13 Worked Out Examples II
 3.14 Multiplication of Two Vectors
 3.15 Multiplication of Three Vectors
 3.16 Worked Out Examples III
 ■ Summary
 ■ Exercises

4 ■ Conservation of Momentum
 4.1 Galilean Transformation
 4.2 Momentum in One Dimension. Definition of Mass
 4.3 Conservation of Linear Momentum
 4.4 Invariance of Momentum Conservation Under Galilean Transformation
 4.5 Illustrative Examples of Momentum Conservation
 4.6 Propulsion of a Rocket
 4.7 Worked Out Examples. Set I
 4.8 When There is a Flow of Momentum
 4.9 Momentum Conservation from a Comoving Frame of Reference
 ■ Summary
 ■ Exercises

5 ■ Newton’s Second Law of Motion
 5.1 How a Force Alters the Momentum of a Particle
 5.2 Equations of Motion, and How to Solve Them
 5.3 Can the Second Law be Applicable to Extended Objects?
 5.4 Forces of Nature We Shall Reckon With
 5.5 Motion Under Gravity Near the Surface of the Earth
 5.6 Worked Out Examples. Set I
 5.7 Motion Against Resistive Forces, Dry Friction
 5.8 Worked Out Problems. Set II
 5.9 Motion Against Resistive Forces, Fluid Friction
 5.10 Worked Out Problems. Set III
 5.11 Dynamics of a Spring Mass System
 5.12 Worked Out Problems. Set IV
 5.13 Simple Harmonic Motion in Two Perpendicular Directions, Lissajous Figures
 5.14 The Second Law Applied to a System of Varying Mass
 5.15 Worked Out Problems. Set V
 5.16 Motion Under Electromagnetic Forces
 5.17 Worked Out Problems. Set VI
 5.18 The Second Law Applied to Uniform Circular Motion
 5.19 Worked Out Examples. Set VII
 5.20 Geometrical Structure of the Second Law Exemplified by Force Perpendicular to Velocity
 5.21 Motion of a Charged Particle Moving in a Uniform Magnetic Field
 5.22 Simple Pendulum
 ■ Summary
 ■ Exercises

6 ■ The Law of Universal Gravitation
 Part I: A Brief History of Gravitation
 6.1 Newton and the Apple and the Moon
 6.2 Heliocentric Model of Copernicus
 6.3 Kepler’s Struggle with Mars
 6.4 Kepler’s Third Law  Key to Inverse Square
 6.5 The Law of Universal Gravitation
 Part II: Gravitational Field
 6.6 The Gravitational Force Between Two Extended Objects
 6.7 Gravitational Field
 6.8 Direct Computation of the Gravitational Field
 6.9 Satellites in Circular Orbits
 6.10 Free Fall and Tidal Acceleration
 6.11 Summary
 6.12 Worked Out Problems
 6.13 Appendix 6A: Explaining the Null Field Inside a Spherical Shell
 ■ Exercises
 7 ■ Newton’s Third Law of Motion

8 ■ Work and Energy in One Dimensional Motion
 8.1 Work and Kinetic Energy
 8.2 Example of Work – Work Done by the Uniform Force of Gravity – Near the Earth’s Surface
 8.3 Example of Work – Work Done by the Inverse Square Force of Gravity
 8.4 Power – The Rate of Doing Work
 8.5 Example of Work – The Spring Mass System
 8.6 Example of Work – Work Done by Electrostatic Forces
 8.7 Conservative and NonConservative Forces
 8.8 The Concept of Potential Energy – Example Spring
 8.9 Potential Energy in General
 8.10 Total Energy of a Particle in a Conservative Field
 8.11 Energy Conservation in a Spring Mass System
 8.12 Concept of a Potential Well
 8.13 Energy Conservation of a Particle Freely Falling Under the Gravitational Pull of the Earth (or the Sun)
 8.14 Energy Conservation of a Charged Particle Moving in an Electrostatic Field
 8.15 Work and Energy in Rocket Propulsion
 8.16 Summary of Important Formulas
 8.17 Worked Out Problems
 ■ Exercises

9 ■ Motion Under Central Forces
 9.1 Plane Polar Coordinate System
 9.2 Velocity and Acceleration of a Particle in the Polar System
 9.3 Orbital Angular Momentum
 9.4 Equations of Motion in the Polar Coordinate System
 9.5 Motion Under an InverseSquareLaw Attractive Force
 9.6 Classification of Trajectories in an InverseSquareLaw Field – Kepler’s 1st Law of Planetary Orbit
 9.7 Kepler’s Third Law of Planetary Orbits
 9.8 A Closer Look at Planetary (Satellite) Orbits
 9.9 The Parabolic Trajectory of a Projectile is Part of an Elliptical Orbit
 9.10 Motion Under an InverseSquareLaw Repulsive Force
 9.11 Appendix 9A: Conic Sections – Ellipse, Parabola, Hyperbola
 9.12 Summary
 9.13 Worked Out Problems
 ■ Exercises

10 ■ Work and Energy in 3Dimensional Motion
 10.1 Normal and Tangential Accelerations
 10.2 Effect of Force Acting Over a Displacement – General Case
 10.3 Evaluation of the Line Integral
 10.4 Example of Evaluation of W – Work Done by the Force of Gravity
 10.5 Example of Evaluation of W – Work Done by the Induced Electric Force
 10.6 Relationship of Work to Kinetic Energy
 10.7 Potential Energy of a Particle in a Conservative Field
 10.8 Total Energy of a Particle in a Conservative Field
 10.9 How Energy Determines the Forces of Constraint
 10.10 The Example of a Betatron
 10.11 Appendix 10A: How to Calculate the Radius of Curvature
 10.12 Summary of Important Formulas
 10.13 Worked Out Problems
 ■ Exercises
 11 ■ Ideal Fluid at Rest and in Motion

12 ■ Motion of a System of Particles. Rigid Body Rotating about a Fixed Axis
 12.1 Linear Bulk Motion of a System of Particles – Conservation of Momentum
 12.2 Rotational Motion of a System of Particles – Conservation of Angular Momentum
 12.3 Examples of Centre of Mass. Worked Out examples I
 12.4 Worked Out Examples II
 12.5 Breaking Up Dynamical Variables With a Component in the CM Frame
 12.6 Rotation of a Rigid Body About a Fixed Axis
 12.7 Simplest Examples of Rigid Body Dynamics
 12.8 Angular Momentum is a Vector Quantity
 12.9 The Amazing Gyroscope, the Spinning Top
 12.10 The 2Body Problem
 12.11 Collision of Two Particles
 ■ Summary
 ■ Exercises
 13 ■ Accelerating and Rotating Frames of Reference
 14 ■ Relativistic Mechanics
 Appendix A ■ Beam Bending and Deflection Formulas

Appendix B ■ Instructions for Gnuplot
 B.1 To Start With
 B.2 Example 1: The Parabolic Trajectory of a Projectile
 B.3 Example 2: Gun Intercepting a Bomb
 B.4 Example 3: Displacement, Velocity and Acceleration of a Piston Driven by a Crank Wheel
 B.5 Example 4: Plotting Polar Equations of Conic Sections
 B.6 Example 5: Processing Ellipse
 B.7 Example 6: Plotting the GPath of Mars
 B.8 Example 7: Lissajous Figures
 Notes
 Bibliography
 Acknowledgements
 Copyright
Product information
 Title: Mechanics
 Author(s):
 Release date: June 2012
 Publisher(s): Pearson India
 ISBN: 9788131773734
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