ENGINEERING MECHANICS

CENTROID OF PLANE FIGURES

• Topic: Centre of Gravity and Centroid
  • Definitions
  • Centroids of regular plane areas
  • Procedure for determining the centroid of a regular plane section
  • Quiz: Centroid of Standard Shapes
• Topic: Centroid of Composite Sections – I
  • Composite Sections
  • Procedure for determining the centroids of composite sections
• Quiz: Centroid of Composite Sections – I
• Quiz: Centroid of Composite Sections – II
• Topic: Centroid of Composite Sections – II
  • Alternate method
  • Example
• Quiz: Centroid of Composite Sections – III
• Quiz: Centroid of Composite Sections – IV
• Quiz: Centroid of Composite Sections – V

MOMENT OF INERTIA

• Topic: Introduction to Area Moment of Inertia
  • Definitions
  • Moment of Inertia of Some Standard Geometrical Shapes
  • Perpendicular Axis Theorem
  • Parallel Axis Theorem
  • Application of Parallel Axes Theorem
  • Procedure for transferring the Moment of Inertia (Parallel Axes Theorem)
• Quiz: MI of Standard Sections
• Topic: Composite Sections
  • Procedure for determining the Moment of Inertia of composite sections
  • MI of composite section – example
• Quiz: MI of Composite Sections – I
• Quiz: MI of Composite Sections – II
• Quiz: MI of Composite Sections – III
• Quiz: MI of Composite Sections – IV
• Quiz: MI of Composite Sections – V

COMPOSITION AND RESOLUTION OF FORCES

• Topic: Force System
  • Concept of Force
  • System of Forces
  • Composition of Forces
  • Law of Parallelogram of Forces
  • Triangle Law of Force (Corollary of Parallelogram Law)
  • Resolution of Forces
  • Procedure for determining the resultant
• Quiz: Concurrent forces
• Topic: Moments
  • Moment of Force
  • Couple
  • Transfer of Force to the Parallel Position
  • Varignon’s Theorem
• Topic: Resultant of a parallel force system
  • Procedure for determining the resultant
• Quiz: Parallel Force System
• Topic: Resultant of a general force system
  • Procedure for determining the resultant
• Quiz: General Force System

EQUILIBRIUM OF SYSTEM OF COPLANAR FORCES

• Topic: Equilibrium of Forces
  • Introduction
  • Free Body Diagram (FBD)
  • Analysing the equilibrium
• Topic: Equilibrium of Coplanar Concurrent Force System – I
  • Equilibrium of Coplanar Concurrent Force System – Lami’s Theorem
  • Procedure for solving by Lami’s Theorem
• Quiz: Lami’s Theorem
• Topic: Equilibrium of Coplanar Concurrent Force System – II
  • Procedure for solving by Resolving forces
• Quiz: 2-Sphere System
• Quiz: 3-Sphere System
• Topic: Equilibrium of Coplanar Non-Concurrent Force System
  • Beams
  • Types of Loading in a beam
  • Procedure for determining support reactions
• Quiz: Equilibrium of Beams – I
• Quiz: Equilibrium of Beams – II

FRICTION

• Topic: Frictional forces
  • Introduction
  • Mechanism of Friction
  • Definitions
  • Laws of friction
  • Procedure for analysis
• Quiz: One Block – Horizontal
  • Topic: Block on inclined plane
  • Procedure for analysis
• Quiz: One Block – Inclined
• Topic: Two Blocks – I
  • Solving problems
• Quiz: Two Blocks – I
• Topic: Two Blocks – II
  • Another example
• Quiz: Two Blocks – II
• Topic: Wedge Friction – I
  • Example
• Quiz: Wedge Friction – I
• Topic: Wedge Friction – II
  • Example
• Quiz: Wedge Friction – II
• Topic: Ladder friction
  • Example
• Quiz: Ladder Friction

PLANE TRUSSES

• Topic: Trusses and Frames
  • Trusses and Frames
  • Types of trusses
  • Analysis of plane trusses
• Topic: Analysis of Truss – Method of Joints
  • Method of Joints
  • Procedure for determining the forces by Method of Joints
• Quiz: Method of Joints – I
• Quiz: Method of Joints – II
• Quiz: Method of Joints – III
• Quiz: Method of Joints – IV
• Topic: Analysis of Truss – Method of Sections
  • Method of Sections
  • Procedure for determining the forces by Method of Sections
• Quiz: Method of Sections – I
• Quiz: Method of Sections – II

KINEMATICS OF PARTICLES – I

• Topic: Rectilinear Motion of Particles
  • Important terms
  • Particle Motion
  • Distance Covered In Nth Second By A Body Moving With Uniform Acceleration
  • Tips on solving problems
• Quiz: Rectilinear Motion
• Topic: Rectilinear vertical motion
  • Motion under gravity
  • Tips on solving problems
• Quiz: Motion Under Gravity – I
• Quiz: Motion Under Gravity – II
• Topic: Rectilinear Motion – variable acceleration
  • Motion with variable acceleration
  • Tips on solving problems
• Quiz: Motion with Variable Acceleration – I
• Quiz: Motion with Variable Acceleration – II

KINEMATICS OF PARTICLES – II

• Topic: Curvilinear motion of particles
  • Curvilinear motion
• Quiz: Curvilinear Motion
• Topic: Motion of Projectile
  • Projectile motion
  • Kinematic equations for projectile
  • Procedure for analysis of projectile motion
• Quiz: Projectile Motion

KINETICS OF PARTICLES

• Topic: Laws of Motion
  • Newton’s Second Law of Motion
  • D’Alembert’s Principle
  • Procedure for analysing by D’Alembert’s method
• Quiz: Newton’s Second Law
• Quiz: D’Alembert’s Principle – I
• Quiz: D’Alembert’s Principle – II
• Topic: Absolute Dependent Motion
  • System of Pulleys
  • Conservation of String Length Method
  • Example – CSLM
• Quiz: Conservation of String Length Method
• Topic: Impulse and Momentum
  • Principle of Impulse and Momentum
  • Collision of Bodies
• Quiz: Conservation of Momentum
• Quiz: Collision of Bodies