Cover -- Preface -- Contents -- Chapter 1. Measurement -- 1.1 What is Physics -- 1.2 Scope and Excitement in Physics -- 1.3 Measurement -- 1.4 Physical Quantities -- 1.5 Fundamental Units of S.I System -- 1.6 Reference Frames -- 1.7 Inertial and Non-Inertial Frames -- 1.8 Scalars and Vectors -- 1.9 Addition of Vectors -- 1.10 Resolution of Vectors -- 1.11 Multiplication of Vectors -- 1.12 Vectors and the Laws of Physics -- 1.13 Speed and Velocity -- 1.14 Acceleration -- 1.15 Rectilinear Motion -- 1.16 Acceleration of Gravity -- 1.17 Accuracy and Errors in Measurement -- Summary -- Chapter 2. Force and Motion -- 2.1 Mechanics -- 2.2 Cause of Motion: Force -- 2.3 Newton's Laws of Motion -- 2.4 Freely Falling Bodies -- 2.5 Motion in a Vertical Plane -- 2.6 Projectile Motion -- 2.7 Equilibrium of Forces -- 2.8 Frictional Forces -- 2.9 Static Friction and Coefficient of Static Friction -- 2.10 Dynamic Friction and Coefficient of Dynamic Friction -- Problem -- Chapter 3. Dynamics of Circular Motion and the Gravitational Field -- 3.1 Uniform Circular Motion -- 3.2 Centrifugal Force -- 3.3 The Centrifuge -- 3.4 Banking of Curved Roads and Railway Tracks (Banked Track) -- 3.5 Bicycle Motion -- 3.6 Conical Pendulum -- 3.7 Motion in a Vertical Circle -- 3.8 Motion in a Planet -- 3.9 Kepler's Laws of Motion -- 3.10 Derivation of Law of Gravitation -- 3.11 Newton's Conclusions from Kepler's Laws -- 3.12 Newton's Universal Law of Gravitations -- 3.13 Gravity and the Earth -- Expression of Acceleration Due to Gravity g in Terms of Gravitations Constant G -- 3.16 Difference between Mass and Weight -- 3.17 Inertial Mass and Gravitational Mass -- 3.18 Gravitational Field and Potential -- 3.19 Equipotential Surface -- 3.20 Weightlessness in Satellites -- 3.21 Velocity of Escape -- 3.22 Relation Between Orbital Velocity and Escape Velocity -- 3.23 Satellites.

3.24 Orbital Velocity of Satellite -- 3.25 Orbital Speed and Period of Revolution of a Satellite Very Close to Earth -- 3.26 Artificial Satellites -- 3.27 Black Holes -- Chapter 4. Work Energy and Momentum -- 4.1 Work -- 4.2 Power -- 4.3 Work in Stretching a Spring -- 4.4 Energy -- 4.5 Kinetic Energy -- 4.6 Potential Energy -- 4.7 Gravitational Potential Energy -- 4.8 Work-Energy Theorem -- 4.9 Significance of the Work-Energy theorem -- 4.10 Conservative Force: First Definition -- 4.11 A Central Force is Conservative -- 4.12 Non-Conservative Force -- 4.13 Relation between Conservative Force and Potential Energy -- 4.14 The Curl of a Conservative Force is Zero -- 4.15 Linear Restoring Force -- Chapter 5. Linear and Angular Momentum -- 5.1 Conservation of Linear Momentum -- 5.2 Centre of Mass -- 5.3 Cartesian Components of the Centre of Mass -- 5.5 Position Vector of the Centre of Mass -- 5.6 Velocity of the Centre of Mass -- 5.7 Center of Mass Frame of Reference -- 5.8 Motion of the Center of Mass of a System of Particles Subject to External Forces -- 5.9 Linear Momentum in Center of Mass Frame of Reference -- 5.10 System of Variable Mass -- 5.11 Motion of a Rocket -- 5.12 Multi Stage Rocket -- Chapter 6. Collisions -- 6.1 Collision -- 6.2 Elastic Collision in One Dimension -- 6.3 The Ballistic Pendulum -- 6.4 Collision in two Dimension -- 6.5 Value of the Scattering Angle -- 6.6 Scattering Cross-Section -- 6.7 Differential Scattering Cross-Section -- 6.8 Total Cross-Section -- 6.9 Impact Parameters -- 6.10 Rutherford Scattering -- Chapter 7. Rotational Kinematics -- 7.1 Rigid Body -- 7.2 Moment of a Force or Torque -- 7.3 Angular Acceleration -- 7.4 Relation between Angular Acceleration and Linear Acceleration -- 7.5 Kinetics Energy of Rotation -- 7.6 Angular Momentum -- 7.7 Relation between Torque and Angular Momentum.

7.8 Conservation of Angular Momentum -- 7.9 Torque Acting on a Particle -- 7.10 Angular Momentum of the Center of Mass of a System of Particles -- 7.11 Precession -- 7.12 The Top (Precession of a Top Spinning in Earth's Gravitational Field) -- 7.13 The Gyrostat -- 7.14 Man with Dumb-Bell on a Rotating Table -- Chapter 8. Moment of Inertia -- 8.1 Moment of Inertia -- 8.2 Role of Moment of Inertia in Rotational Motion -- 8.3 Radius of Gyration -- 8.4 Analogous Parameters in Translational and Rotational Motion -- 8.5 General Theorems on Moment of Inertia -- 8.6 Calculation of Moment of Inertia -- 8.7 Moment of Inertia of a Uniform Rod -- 8.8 Moment of Inertia of a Rectangular lamina (or Bar) -- 8.9 Moment of Inertia of a Thin Circular Ring (or a Hoop) -- 8.10 Moment of Inertia of a Circular Lamina or Disc: -- 8.11 Moment of Inertia of an Angular Ring or Disc -- 8.12 Moment of Inertia of a Solid Cylinder -- 8.13 Moment of Inertia of a Solid Cone -- 8.14 Moment of a Inertia of a Hollow Cylinder -- 8.15 Moment of Inertia of a Spherical Shell -- 8.16 Moment of Inertia of a Solid Sphere -- 8.17 Moment of Inertial of a Hollow Sphere or a Thick Shell -- 8.18 M.I of a Uniform Triangular Lamina -- 8.19 Kinetic Energy of Rotation -- 8.20 A Body Rolling Down an Inclined Plane (Its Acceleration Along the Plane) -- 8.21 Identification of Hollow and Solid Sphere -- 8.22 Compound Pendulum -- 8.23 Fly Wheels -- Chapter 9. Mechanical Properties of Matter -- 9.1 Rigid Body -- 9.2 Elasticity -- 9.3 Perfectly Elastic and Perfectly Plastic -- 9.4 Stress -- 9.5 Strain -- 9.6 Hook's Law -- 9.7 Elastic Limit -- 9.8 Young's Modulus -- 9.9 Bulk Modulus of Elasticity -- 9.10 Modulus of Rigidity (Shear Modules) -- 9.11 Poisson's Ratio -- 9.12 Potential Energy in Stretched Wire.

9.13 Equivalence of a Shear to a Tensile and a Compressive Strain at Right Angles to Each Other and Each Equal to Half the Shear -- 9.14 Equivalence of Compression and Equal Perpendicular Extension to a Shear -- 9.15 Equivalence of a Shearing Stress to an Equal Extensional Stress Plus an Equal and Perpendicular Compressional Stress -- 9.16 Relations Connecting the Elastic Constants -- 9.17 Theoretical Limiting Values of Poisson's Ratio -- 9.18 Poisson's Ratio for an Incompressible Material -- 9.19 Twisting Couple on a Cylinder -- 9.20 Determination of the Coefficient of Rigidity (n) for the Material of a Wire -- 9.21 Torsional Oscillations -- 9.22 Determination of Modulus of Rigidity of a Torsional Oscillations -- 9.23 Beam -- 9.24 Bending Moment -- 9.25 Cantilever -- 9.26 Beam Supported at Its Ends and Loaded in the Middle -- Chapter 10. Fluids -- 10.1 Molecular Forces -- 10.2 Definition of Surface Tension -- 10.3 Explanation of Surface Tension -- 10.4 Surface Energy -- 10.5 Relation between Surface Tension and Work Done in Increasing the Surface Area -- 10.6 Shape of Liquid Meniscus in a Glass Tube -- 10.7 Angle of Contact -- 10.8 Capillary Action -- 10.9 Rising of Liquid in a Capillary Tube of Insufficient Length -- 10.10 Effects on Surface Tension -- 10.11 Ideal Liquid -- 10.12 Steady or Stream Line Flow -- 10.13 Equation of Continuity of Flow -- 10.14 Energy of the Fluid -- 10.15 Bernoulli's Theorem -- 10.16 Velocity of Efflux -- 10.17 Velocity of Efflux of a Gas -- 10.18 Viscosity -- 10.19 Flow of Liquid in a Tube: Critical Velocity -- 10.20 Velocity Gradient and Coefficient of Velocity -- 10.21 Poiseuille's Equation for Liquid-Flow through a Narrow Tube -- 10.22 Poiseuille's Method for Determining Coefficient of Viscosity of a Liquid -- 10.23 Rate of Liquid-Flow through Capillaries in Series.

10.24 Rate of Liquid-Flow through Capillaries in Parallel -- 10.25 Poiseuille's Formula Extended to Gases -- 10.26 Determination of Viscosity of a Gas -- 10.27 Stoke's Law of Viscous Force -- 10.28 Stoke's Formula for the Terminal Velocity of a Falling Sphere -- 10.29 Velocity of Rain Drops -- Chapter 11. Harmonic Motion -- 11.1 Periodic Motion -- 11.2 Simple Harmonic Motion (S.H.M) -- as a Projection of Uniform Circular Motion -- 11.3 Displacement Equation of S.H.M -- 11.4 Conditions for Linear S.H.M -- 11.5 Equation of Motion of a Simple Harmonic Oscillator -- 11.6 Importance of S.H.M -- 11.7 Energy of Harmonic Oscillator -- 11.8 Average Values of Kinetic and Potential Energies -- 11.9 Position-Average of Kinetic and Potential Energies -- 11.10 Fractions of Kinetic and Potential Energies -- 11.11 Mass Attached to a Horizontal Spring -- 11.12 Motion of a Body Suspended by a Vertical Spring -- 11.13 Mass Suspended by a Heavy Spring -- 11.14 Oscillations of a Floating Cylinder -- 11.15 Oscillations of a Liquid in a U-Tube -- 11.16 Helmholtz Resonator -- 11.17 Composition of two Simple Harmonic Motions of Equal Periods in a Straight Line -- 11.18 Composition of Two Rectangular S.H.M. of Equal Periods -- 11.19 Composition of Two Rectangular S.H.M 's of Time Priods Nearly Equal -- 11.20 Lissajou's Figures from Two Rectangular S.H.M in Frequency Ratio 2:1 -- 11.21 Uses of Lissajous Figures -- Chapter 12. Wave Motion -- 12.1 Wave Motion -- 12.2 Transverse Wave -- 12.3 Longitudinal Wave -- 12.4 General Equation of wave Motion -- 12.5 Equation of a Plane Progressive Harmonic Wave -- 12.6 Principle of Superposition -- 12.7 Longitudinal Waves in Rods -- 12.8 Longitudinal Waves in gases (Pressure Variations for Plane Waves) -- 12.9 Waves in a Linear Bounded Medium -- 12.10 Flow of Energy in Stationary Waves -- 12.11 Characteristics of Stationary Waves.

12.12 Wave Velocity (or Phase Velocity).