Introduction to Engineering Mechanics - Scalar and Vector quantities - Forces - Characteristics of a force - Definitions and examples of various types of force systems - Definition of resultant - Composition and resolution of forces - Moment of a force - Principles of moments of force - Couples - characteristics of a couple - on Transformations of a couple - Resolution of a force into a force and couple, Resultants of Force Systems, Possible resultants of different types of force systems - Resultant of a concurrent, coplanar force system - Resultant of a non-concurrent coplanar force system - Resultant of a concurrent noncoplanar force system - Resultant of a parallel, non-coplanar force system - Resultant of a system of couples in space - Resultant of non-concurrent, non-coplanar, non-parallel force system - screw of Wrench, Equilibrium : Free body diagrams - Equations of equilibrium for a concurrent coplanar force system - Equilibrium of Bodies acted on by two or three forces - Equilibrium of bodies acted on by non-concurrent coplanar force system - Equilibrium of bodies acted on by parallel, non-coplanar force system - Equilibrium of non-concurrent, non-coplanar non-parallel force system

Centroids and Centres of Gravity : Centre of gravity of parallel forces in a plane - Centre of gravity of
parallel forces in space - centroids and centres of gravity of composite bodies - Theorems of Pappus - Distributed Loads on Beams, Moments of Inertia, Definition - Parallel axis theorm for areas - Second moments of areas by integration - Radius of gyration of areas - Moments of inertia of composite areas - Parallel axis and parallel plane theorems for masses - Moments of inertia of masses by integration - Radius of gyration of mass - Moments of inertia of composite masses, Friction : Nature of friction - Laws of friction - Coefficient of friction - Angle of friction - Cone of friction - Problems involving frictional forces - Frictional forces on flexible bands and belts - Rolling friction, Method of Virtual Work: Principle of virtual work - Equilibrium of ideal system - Stability of equilibrium

Absolute Motion : Introduction - Recapitulation of basic terminology of mechanics - Newtons Laws - Introduction to Kinematics of Absolute Motion - Rectilinear motion of a particle - Angular motion of a line - Curvilinear motion of a particle using rectangular components - Motion of projectiles - Curvilinear motion using Radial and Transverse Components - (Simple Problems only) - basics of simple harmonic motion (Simple problems) - Motion of rigid bodies, Kinematics: Relative Motion : Introduction to kinematics of relative motion - Relative displacement - Relative velocity - Instantaneous centre - Relative acceleration

Introduction to Kinetics - Force, Mass and Acceleration approach - Newtons Laws of motion - Equation of motion for a particle, Motion of the mass centre of a system of particles - D Alemberts principle - Rectilinear translation of a rigid body - Curvilinear translation of a rigid body - Rotation of a rigid body - Plane motion of a rigid body - Reserved effective forces and couples and their use in Dynamic Equilibrium method, Kinetics : Work and Energy approach - Work done by a force - Work done by a couple - Work done by a force system - Energy: Potential energy - Kinetic energy of a particle - Kinetic energy of a rigid body - Principle of Work and kinetic energy - Conservation of energy - Power and efficiency, Impulse - Momentum approach - Linear impulse - Linear momentum - Principle of linear impulse and linear momentum - Conservation of linear momentum - Elastic impact - Angular impulse - Angular momentum - Principles of angular impulse and angular momentum