## Book description

Engineering Mechanics is tailor-made as per the syllabus offered in the first year of undergraduate students of Engineering. The book covers both Statics and Dynamics, and provides the students with a clear and thorough presentation of the theory as well as the applications. The diagrams and problems in the book familiarize students with actual situations encountered in engineering.

1. Cover
2. Title Page
3. Contents
4. Dedication
5. Preface
6. 1 - Statics of Particles and Rigid Bodies
1. Introduction
2. Basic Concepts and Fundamental Laws of Mechanics
3. System of Forces
4. Resultant Force
5. Parallelogram Law of Forces
6. Triangle Law of Forces
7. Polygon Law of Forces
8. Resolution of Force
9. Composition of Coplanar Forces by Method of Resolution
10. Moment of Force
11. Varignon's Theorem (Principle of Moments)
12. Couples
13. Resolution of a Force Into a Force and a Couple
14. Free Body Diagram
15. Equilibrium
16. Lami's Theorem
17. Categories of Equilibrium
7. 2 - Plane Trusses and Frames
1. Introduction
2. Structural Elements
3. Types of Structures
4. Support Conditions
6. Applied and Reactive Forces
7. Equations of Equilibrium
8. Determinacy of Beams
9. Classification of Truss
10. Determinacy of Trusses
11. Nature of Forces
12. Basic Assumptions of Truss Analysis
13. Methods of Truss Analysis
8. 3 - Shear Force and Bending Moment
1. Shear Forces and Bending Moments
2. Shear Force and Bending Moment Diagrams
3. Relationship between Shear Force and Bending Moment
4. Sign Convention of Shear Force and Bending Moment
5. Steps to Solve SFD and BMD Problems
9. 4 - Friction
1. Introduction
2. Types of Friction
3. Static and Kinetic Friction
4. Laws of Solid Friction (Laws of Coulomb Friction)
5. Angle of Friction
6. Angle of Repose
8. Wedge
9. Journal Bearing
10. Disc Friction (Thrust Bearing)
11. Rolling Friction
12. Belt Friction
10. 5 - Virtual Work
1. Introduction
2. Work of Force
3. Work of Couple
4. Virtual Work
5. Principle of Virtual Work
6. Active Forces and Active Force Diagram
7. Sign Conventions
8. Stability of Equilibrium
11. 6 - Centroid and Moment of Inertia
1. Centre of Gravity
2. Centroid of Line
3. Centroid of Area
4. Centroid of Volume
5. Centroid of Composite Bodies
6. Centroid of Circular Arc
7. Centroid of Area of Triangle
8. Centroid of Area of Circular Sector
9. Centre of Gravity of Right Circular Solid Cone
10. Centre of Gravity of Right Circular Hollow Cone
11. Centre of Gravity of Solid Hemisphere
12. Centre of Gravity of Thin Hollow Hemisphere
13. Theorem of Pappus
14. Area Moment of Inertia
15. Polar Moment of Inertia
17. Theorem of Parallel Axes
18. Theorem of Perpendicular Axes
19. Mass Moment of Inertia
20. Theorem of Parallel Axes
21. Theorem of Perpendicular Axes
22. Moment of Inertia of Disc
23. Moment of Inertia of Plate
24. Product of Inertia
25. Parallel Axis Theorem for Product of Inertia
26. Transformation Equations for Moments and Product of Inertia
27. Principal Axes
12. 7 - Belt and Rope Drives
1. Introduction
2. Types of Belts
3. Types of Belt Drives
4. Belt Materials
5. Velocity Ratio
6. Effect of Slip on Velocity Ratio
7. Crowning of Pulleys
8. Length of Belt
9. Cone (Stepped) Pulleys
10. Power Transmitted
11. Belt Tensions Ratio
12. V-Belt or Rope
13. Centrifugal Effect on Belts
14. Maximum Power Transmitted by a Belt
15. Initial Tension
16. Advantage of V-Belt Over Flat Belt
17. Creep
13. 8 - Lifting Machines
1. Introduction
2. Definitions
3. Ideal Effort and Ideal Load
4. Reversibility of Machine
5. Law of Machine
6. Lever
7. Pulley
8. Types of Lifting Machines
9. First System of Pulleys
10. Second System of Pulleys
11. Third System of Pulleys
12. Simple Wheel and Axle
13. Wheel and Differential Axle
14. Weston's Differential Pulley Block
15. Worm and Worm Wheel
16. Single Purchase Winch Crab
17. Double Purchase Winch Crab
18. Screw Jack
19. Differential Screw Jack
14. 9 - Kinematics of Particles and Rigid Bodies
1. Introduction
2. Important Terms
3. Types of Motion
4. Rectilinear Motion: Velocity and Acceleration
5. Equations of Motion: Rectilinear
6. Curvilinear Motion: Velocity and Acceleration
7. Rectangular Components of Velocity and Acceleration
8. Angular Velocity and Angular Acceleration
9. Equations of Motion: Circular
12. Projectiles
13. Relative Motion
15. 10 - Kinetics of Particles and Rigid Bodies
1. Introduction
2. Newton's Law of Gravitational Attraction
3. Weight
4. Newton's Laws of Motion
5. Newton's Second Law
6. Equation of Motion: Rectangular Coordinates
7. Equation of Motion: Radial and Transverse Components
8. Equation of Motion in Plane for a Rigid Body
9. Steps to Solve Problems
10. D'Alembert's Principle
16. 11 - Work, Energy and Power
1. Work of a Force
2. Work of a Couple
3. Power
4. Efficiency
5. Energy
6. Kinetic Energy of Rigid Body
7. Principle of Work and Energy
8. Conservative and Non-conservative Systems
9. Conservation of Energy
17. 12 - Impulse and Momentum
1. Linear Momentum
2. Principle of Momentum for a Particle
3. Impulse
4. Principle of Linear Impulse and Momentum of a Particle
5. Conservation of Linear Momentum
6. Principle of Linear Impulse and Momentum for a System of Particles
7. Angular Momentum
8. Law of Angular Momentum
9. Angular Impulse
10. Principle of Angular Momentum and Impulse
11. Conservation of Angular Momentum
12. Angular Momentum of Rigid Body
13. General Plane Motion
14. Principle of Impulse and Momentum for a Rigid Body
15. Impact
16. Central Impact
17. System of Variable Mass
18. 13 - Vibrations
1. Introduction
2. Degrees of Freedom
3. Free Vibrations of Particles
4. Graphical Representation of Motion
5. Simple Pendulum
6. Compound Pendulum
7. Torsional Pendulum
8. Energy Method
19. Acknowledgements