CONTENTS

1. Kinematics ... 1-48
1.1 Introduction
1.2 Basic Concepts and Definitions
1.3 Rectilinear Motion
1.4 Motion in a Plane
1.5 Velocity and Acceleration Parallel to the Co-ordinate Axes (Cartesian Co-ordinates)
1.6 Types of Problems in Kinematics
1.7 Radial and Transverse Velocities and Accelerations (Polar Co-ordinates)
1.8 Angular Velocity and Angular Acceleration
1.9 Relation Between Angular and Linear Velocities
1.10 Angular Velocity and Angular Acceleration of Direction of Motion
1.11 Tangential and Normal Velocities and Accelerations (Intrinsic Co-ordinates)
2. Rectilinear Motion (Motion In A Straight Line) ... 49-126
2.1 Equation of Motion
2.2 Motion in a Straight Line with Constant Acceleration
2.3 Simple Harmonic Motion (SHM)
2.4 Nature of Motion
2.5 Epoch, Argument and Phase
2.6 Geometrical Representation of SHM
2.7 Hooke's Law for Elastic Strings
2.8 Horizontal Elastic Strings
2.9 Vertical Elastic Strings
2.10 Motion Under Inverse Square Law (Universal Law of Gravitation)
2.11 Motion of a Particle due to Attraction of the Earth
2.12 Motion Under Miscellaneous Laws
2.13 Disturbed Harmonic Motion
2.14 Damped Harmonic Motion
3. Constrained Motion ... 127-176
3.1 Constrained Motion
3.2 Motion on a Smooth Curve
3.3 Motion in a Vertical Circle
3.4 To determine the point where the particle after leaving the circular path meets it again
3.5 Motion on the Outside of a Vertical Circle
3.6 Some Properties of Cycloid
3.7 Motion on a Smooth Cycloid
4. Motion Under Resisting Medium ... 177-208
4.1 Introduction
4.2 Terminal Velocity of a Body Falling in Air
4.3 Motion of a Particle, The Resistance Varying as the Square of the Velocity
4.4 Resistance Proportional to the Velocity
4.5 Resistance Varying as n'h Power of the Velocity
5. Motion On Smooth And Rough Plane Curves ... 209-221
5.1 Motion on a Smooth Plane Curve
5.2 Motion on a Rough Plane Curve
5.3 Motion on a Rough Cycloid
5.4 Motion When Mass Varies
6. Central Orbits And Kepler's Laws ... 222-243
6.1 Some Definitions
6.2 Article
6.3 Article
6.4 Article
6.5 Article
6.6 Elliptic Orbit : Force Directed to the Focus
6.7 Parabolic Orbit
6.8 Hyperbolic Orbit
6.9 Some Definitions
6.10 Important Properties of an Apse
6.11 Kepler's Law
7. Motion Of A Particle In Three Dimensions ... 244-263
7.1 Acceleration of a Particle in Terms of Polar Co-ordinates
7.2 Acceleration of a Particle in Terms of Cylindrical Co-ordinates
7.3 Article
7.4 Article
7.5 Article
7.6 Article
7.7 Article
7.8 Motion on a Smooth Surface
7.9 Motion Under Gravity of a Particle on a Smooth Surface of Revolution Whose Axis is Vertical