Engineering Mechanics

__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. Cover Engineering Mechanics Copyright Contents Preface Acknowledgements Statics of Particles and Rigid Bodies Introduction Basic Concepts and Fundamental Laws of Mechanics Newton’s Law of Gravitation Newton’s Laws The Principle of Transmissibility System of Forces Concurrent Forces Coplanar Forces Parallelogram Law of Forces Triangle Law of Forces Polygon Law of Forces Resolution of Force Resolution of Force in XY-Plane Rectangular Components of a Force in Space Composition of Coplanar Forces by Method of Resolution Moment of Force Rectangular Components of the Moment Varignon’s Theorem Couples Resolution of a Force Into a Force and a Couple Reduction of Force-Couple System to Single Force Free Body Diagram Equilibrium Conditions for Equilibrium Lami’s Theorem Proof of Lami’s Theorem Categories of Equilibrium Solved Problems Chapter Highlights Review Questions Multiple Choice Questions Plane Trusses and Frames Introduction Structural Elements Tie Rods Beams Columns Types of Structures Trusses Cables and Arches Frames Machines Support Conditions Types of Loadings Concentrated or Point Load Uniformly Distributed Load Uniformly Varying Load Varying Load Applied and Reactive Forces Equations of Equilibrium Determinacy of Beams Classification of Truss Efficient or Perfect Truss Imperfect Truss Determinacy of Trusses Nature of Forces Basic Assumptions of Truss Analysis Methods of Truss Analysis Method of Joints Method of Sections Solved Problems Chapter Highlights Review Questions Multiple Choice Questions Shear Force and Bending Moment Shear Forces and Bending Moments Shear Force and Bending Moment Diagrams Relationship between Shear Force and Bending Moment Sign Convention of Shear Force and Bending Moment Steps to Solve SFD and BMD Problems Solved Problems Chapter Highlights Review Questions Multiple Choice Questions Friction Introduction Types of Friction Dry Friction Film Friction Boundary (Or Skin) Friction Static and Kinetic Friction Laws of Solid Friction Angle of Friction Angle of Repose Ladder Wedge Journal Bearing Discfriction Rolling Friction Belt Friction Solved Problems Chapter Highlights Review Questions Multiple Choice Questions Virtual Work Introduction Work of Force Work of Couple Virtual Work Principle of Virtual Work Active Forces and Active Force Diagram Sign Conventions Stability of Equilibrium Stable Equilibrium Unstable Equilibrium Neutral Equilibrium Solved Problems Chapter Highlights Review Questions Multiple Choice Questions Centroid and Moment of Inertia Centre of Gravity Centroid of Line Centroid of Area Centroid of Volume Centroid of Composite Bodies For Composite Plates For Composite Rods Centroid of Circular ARC Centroid of Area of Triangle Centroid of Area of Circular Sector Double Integration Method Centre of Gravity of Right Circular Solid Cone Centre of Gravity of Right Circular Hollow Cone Centre of Gravity of Solid Hemisphere Centre of Gravity of Thin Hollow Hemisphere Theorem of Pappus Theorem 1: Pappus’s Theorem for Volume Theorem 2: Pappus’s Theorem for Surface Areas Area Moment of Inertia Polar Moment of Inertia Radius of Gyration Theorem of Parallel Axes Theorem of Perpendicular Axes Moment of Inertia of Rectangle Double Integration Method Moment of Inertia of Triangle Moment of Inertia of Circular Area Mass Moment of Inertia Theorem of Parallel Axes Theorem of Perpendicular Axes Moment of Inertia of Uniform Rod Moment of Inertia of Circular Ring Moment of Inertia of Disc Moment of Inertia of Plate Moment of Inertia of Solid Sphere Moment of Inertia of Cone Product of Inertia Parallel Axis Theorem for Product of Inertia Transformation Equations for Moments and Product of Inertia Principal Axes Solved Problems Chapter Highlights Review Questions Multiple Choice Questions Belt and Rope Drives Introduction Types of Belts Types of Belt Drives Open Belt Drive Cross or Twist Belt Drive Quarter Twist Belt Drive Open Belt Drive with Idler Pulleys or Jockey Pulley Drive Quarter Twist Belt Drive with Guide Pulley Open Belt Drive with Idler Pulleys and Guide Pulleys Loose and Fast Pulley Drive Belt Materials Velocity Ratio Simple Belt Drive Compound Belt Drive Effect of Slip on Velocity Ratio Crowning of Pulleys Length of Belt Length of Open Belt Drive Length of Cross Belt Drive Cone (Stepped) Pulleys For Open Belt System For Cross-Belt System Power Transmitted Belt Tensions Ratio Flat Belt V-Belt or Rope Centrifugal Effect on Belts Centrifugal Tension Considered Centrifugal Tension Neglected Maximum Power Transmitted by a Belt Initial Tension Advantage of V-Belt Over Flat Belt Creep Solved Problems Chapter Highlights Review Questions Multiple Choice Questions Lifting Machines Introduction Definitions Mechanical Advantage Velocity Ratio Input of Machine Output of Machine Efficiency of Machine Ideal Machine Ideal Effort and Ideal Load Reversibility of Machine Law of Machine Variation of Mechanical Advantage Variation of Efficiency Lever Pulley Types of Lifting Machines First System of Pulleys Second System of Pulleys Third System of Pulleys Simple Wheel and Axle Wheel and Differential Axle Weston’s Differential Pulley Block Worm and Worm Wheel Single Purchase Winch Crab Double Purchase Winch Crab Screw Jack Condition for Maximum Efficiency Differential Screw Jack Solved Problems Chapter Highlights Review Questions Multiple Choice Questions Kinematics of Particles and Rigid Bodies Introduction Important Terms Types of Motion Rectilinear Motion: Velocity and Acceleration Equations of Motion: Rectilinear Velocity as a Function of Time Position as a Function of Time Curvilinear Motion: Velocity and Acceleration Rectangular Components of Velocity and Acceleration Angular Velocity and Angular Acceleration Angular Velocity Angular Acceleration Equations of Motion: Circular Angular Velocity as a Function of Time Angular Displacement as a Function of Time Angular Velocity as a Function of Angular Displacement Radial and Transverse Velocities Radial and Transverse Accelerations Projectiles Terms Used with Projectiles Equation of Trajectory Velocity and Direction of Motion Maximum Height Attained Time of Flight Range Inclined Plane Time of Flight Relative Motion Solved Problems Chapter Highlights Review Questions Multiple Choice Questions Kinetics of Particles and Rigid Bodies Introduction Newton’s Law of Gravitational Attraction Weight Newton’s Laws of Motion Newton’s Second Law Equation of Motion: Rectangular Coordinates Equation of Motion: Radial and Transverse Components Equation of Motion in Plane for a Rigid Body Steps to Solve Problems D’Alembert’s Principle Solved Problems Chapter Highlights Review Questions Multiple Choice Questions Work, Energy and Power Work of a Force Work of a Constant Force in Rectilinear Motion Work of the Weight Work of a Spring Force Work of a Couple Power Efficiency Energy Kinetic Energy of Rigid Body Translation Rotation about Fixed Axis Principle of Work and Energy Conservative and Non-conservative Systems Conservation of Energy Solved Problems Chapter Highlights Review Questions Multiple Choice Questions Impulse and Momentum Linear Momentum Principle of Momentum for a Particle Impulse Principle of Linear Impulse and Momentum of a Particle Conservation of Linear Momentum Principle of Linear Impulse and Momentum for a System of Particles Angular Momentum Law of Angular Momentum Angular Impulse Principle of Angular Momentum and Impulse Conservation of Angular Momentum Angular Momentum of Rigid Body Rotation About Fixed Axis General Plane Motion Principle of Impulse and Momentum for a Rigid Body Impact Central Impact Coefficient of Restitution Oblique Impact System of Variable Mass Rocket Solved Problems Chapter Highlights Review Questions Multiple Choice Questions Vibrations Introduction Degrees of Freedom Free Vibrations of Particles Graphical Representation of Motion Simple Pendulum Compound Pendulum Torsional Pendulum Energy Method Solved Problems Chapter Highlights Review Questions Multiple Choice Questions Index This book is tailor-made as per the syllabus of Engineering Mechanics 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