Mechanics for BPUT (Subject Code BE-2104)

Cover
Contents
Preface
Roadmap to the Syllabus
Chapter 1: 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
	Resultant Force
	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 (Principle of Moments)
	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
Chapter 2: Friction
	Introduction
	Types of Friction
		Dry Friction
		Film Friction
		Boundary (Or Skin) Friction
	Static and Kinetic Friction
	Laws of Solid Friction (Laws of Coulomb Friction)
	Angle of Friction
	Angle of Repose
	Ladder
	Wedge
		Equilibrium Force Equations of Wedge
		Equilibrium Force Equations of Slider
	Journal Bearing
	Disc Friction (Thrust Bearing)
	Rolling Frictio
	Belt Friction
	Solved Problems
	Chapter Highlights
	Review Questions
	Multiple Choice Questions
Chapter 3: Centroid and Moment of Inertia
	Centre of Gravity
	Centroid of Line
	Centroid of Area
	Centroid of Volume
	Centroid of Composite Bodies
		For Composite Plates (Constant Thickness)
		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
		Proof
	Theorem of Perpendicular Axes
		Proof
		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
		Proof
	Theorem of Perpendicular Axes
		Proof
		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
	Solved Problems
	Chapter Highlights
	Review Questions
	Multiple Choice Questions
Chapter 4: 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
Chapter 5: 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
Chapter 6: 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
Chapter 7: 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
Chapter 8: 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
Chapter 9: 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
		Coeffcient of Restitution
		Oblique Impact
	System of Variable Mass
		Rocket
	Solved oblems
	Chapter Highlights
	Review Questions
	Multiple Choice Questions
	Solved Question Papers
Solved Question Papers
Index