Fundamentals of Newtonian Mechanics>
Preface
Why I am trying to write this book?
Acknowledgements
About the Author
1
Measurement:
1.1
Seven SI Base Units:
1.2
Base Units and Derived Units:
1.3
Changing Units
1.4
Prefix
1.5
Significant Figures and Decimal Places
1.6
A Second Mass Standard
Solved Problems Measurement:
Problems Measurement:
2
Motion Along a Straight Line:
2.1
Position, Displacement:
2.2
Average Velocity and Speed
2.3
Calculation of Average Velocity from Graph
2.4
Instantaneous Velocity and Speed
2.5
Acceleration
2.6
Constant Acceleration: A Special Case
2.7
Free-Fall Acceleration
Solved Problems: Motion Along a Straight Line
Problems:Motion Along a Straight Line
3
Vectors & Scalars
3.1
Fundamental Quantities:
3.2
Defining Vectors:
3.3
Adding Vectors Geometrically
3.4
Commutative
and
Associative
Laws of Vector Addition
3.5
Subtraction, Negation, and the Zero Vector
3.6
Components of Vectors
3.7
Unit Vectors, adding Vectors by Components
3.7.1
Multiplying a Vector by a Scalar
3.7.2
Multiplying a Vector by a Vector
The Dot or Scalar Product
The Cross or Vector Product
Solved Problems:Motion Along a Straight Line
Problems:Motion Along a Straight Line
4
Motion in Two and Three Dimensions
4.1
Position and Displacement:
4.2
Average and Instantaneous Velocity:
4.3
Average and Instantaneous Acceleration:
4.4
Projectile Motion, Uniform Circular Motion:
4.5
Horizontal Range:
4.6
Uniform Circular Motion:
4.7
Projectile Motion with Air Resistance (Research):
4.8
Velocity Dependent Forces (Research):
4.8.1
Python exercise for projectile motion (Research)
Solved Problems:Motion in Two and Three Dimensions
Problems:Motion in Two and Three Dimensions
5
Force & Motion-I
5.1
Newtonian Mechanics:
5.1.1
Newton’s First Law of Motion:
5.1.2
Newton’s Second Law of Motion:
5.1.3
Newton’s Third Law of Motion:
5.2
Force & Mass:
Solved Problems:Force & Motion-I
Problems:Force & Motion-I
6
Force & Motion-II
6.1
Frictional Force:
6.2
Drag Force & Terminal Speed:
6.3
Uniform Circular Motion:
Solved Problems:Force & Motion-II
Problems:Force & Motion-II
7
Kinetic Energy & Work
7.1
Kinetic Energy:
7.2
Work Done by a Constant Force on an Object:
7.3
Work and Kinetic Energy:
7.4
Work Done by the Gravitational Force:
Solved Problems:Kinetic Energy & Work
Problem:Kinetic Energy & Work
8
Potential Energy & Conservation of Energy
8.1
Conservative Forces:
8.2
Work & Potential Energy:
8.3
Gravitational Potential Energy:
8.4
Block-Spring Potential Energy:
8.5
Conservation of Mechanical Energy:
8.6
Reading a potential energy curve, work done on a system by an external force, energy due to non-conservative forces, conservation of energy, mass and energy.
9
Center of Mass and Linear Momentum
9.1
Center of mass, Newton’s Second Law for a System of Particles, Linear Momentum, Linear Momentum of a System of Particles.
9.2
Collision & Impulse, Conservation of Linear Momentum, Momentum & Kinetic Energy in Collision, Elastic Collision in One Dimension.
10
Rotation
11
Rolling, Torque & Angular Momentum
11.1
The Kinetic Energy of Rolling, The Forces of Rolling, Torque, Angular Momentum.
12
Equilibrium & Elasticity
12.1
Equilibrium, Elasticity, Young’s Modulus, Shearing, Hydraulic Stress.
13
Gravitation:
13.0.1
Newtonian Gravity
13.0.2
Gravitation Near Earth’s Surface:
13.0.3
Gravitational Potential Energy:
13.0.4
Escape Speed:
13.0.5
Conservative Force:
13.0.6
Polar Coordinate System:
13.0.7
Kepler’s Laws
13.0.8
Kepler’s First Law:
13.0.9
Conic Sections:
13.0.10
Kepler’s Second Law:
13.0.11
Kepler’s Third Law:
13.0.12
Satellites: Orbits and Energy:
14
Oscillations
14.1
Simple Harmonic Motion (SHM):
14.1.1
The Velocity and Acceleration of SHM
14.1.2
The Force Law for Simple Harmonic Motion:
14.2
SHM) as the First Order Approximation:
14.3
Damped Oscillatory Motion:
14.4
Energy in Simple Harmonic Motion:
14.5
Quality Factor:
14.6
Resonance:
14.7
Periodic Driving Forces:
14.8
Transients:
14.9
Simple Pendulum:
14.10
The Physical Pendulum:
15
Waves-I
15.1
Types of Waves:
15.2
Transverse and Longitudinal Mechanical Waves:
15.3
Wavelength and Frequency of Transverse Wave:
15.4
The Speed of a Traveling Wave:
15.5
Wave Speed on a Stretched String:
15.6
Energy and Power of a Wave Traveling Along a String:
15.7
Interference of Waves:
15.8
Phasors:
16
Waves-II
16.0.1
The importance of sound waves:
16.0.2
Sound Waves:
16.0.3
Traveling Sound Waves:
16.0.4
Pressure:
16.0.5
Interference of Waves:
16.0.6
Intensity and Sound Level:
16.0.7
The Decibel Scale:
16.0.8
Sources of Musical Sound:
16.0.9
Beats:
16.0.10
Doppler Effect:
16.0.11
Detector Moving, Source Stationary:
16.0.12
Source Moving, Detector Stationary:
17
Temperature, Heat & the First Law of Thermodynamics
17.1
TEMPERATURE
17.2
THE CELSIUS AND FAHRENHEIT SCALES
17.3
THERMAL EXPANSION
17.4
ABSORPTION OF HEAT
17.5
THE FIRST LAW OF THERMODYNAMICS
17.6
HEAT TRANSFER MECHANISMS
18
Kinetic Theory of Gases
18.1
AVOGADRO’S NUMBER
18.2
IDEAL GASES
18.3
PRESSURE, TEMPERATURE, AND RMS SPEED
18.4
TRANSLATIONAL KINETIC ENERGY
18.5
MEAN FREE PATH
18.6
THE DISTRIBUTION OF MOLECULAR SPEEDS
18.7
THE MOLAR SPECIFIC HEATS OF AN IDEAL GAS
18.8
DEGREES OF FREEDOM AND MOLAR SPECIFIC HEATS
18.9
THE ADIABATIC EXPANSION OF AN IDEAL GAS
19
Entropy and Second Law of Thermodynamics
19.1
Entropy
19.2
ENTROPY IN THE REAL WORLD: ENGINES
19.3
REFRIGERATORS AND REAL ENGINES
19.4
A STATISTICAL VIEW OF ENTROPY
Appendix-A
Appendix-B
The International System of Units (SI)
Appendix-C
Some Astronomical Data
Appendix-D
Some Conversion Factors
Appendix-E
Fundamental Constants of Physics
Appendix-F
Properties of the Elements
Appendix-G
Periodic Table of the Elements
Greek Alphabets
Published with bookdown
Fundamentals of Newtonian Mechanics
Appendix-G
Periodic Table of the Elements