Principle of Statics, Force Systems, Resolution and Composition of Forces. Resultant of Concurrent Forces. Moment of a force, Varignon`s Theorem
Introduction to Engineering Mechanics, Concept of a Rigid Body, Basic Concepts, Describing a Force, Vector Representation of Force, Ex: Representing a Force in Vector form, Basic Principles, Newton's Law of Gravitation, Newton's First law of Motion, Newton's 2nd law of Motion, Newton's 3rd Law of Motion, Principle of Transmissibility, Parallelogram law of addition of forces, and other topics.
Couple, Equivalent Force Couple System, Resultant of Non Concurrent
Non Parallel force system, Resultant of Parallel Force System. Distributed Forces in plane.
Concept of a Couple, Resolution of Force into Force-Couple System, Resultant of a general sytem of Forces, Ex: Resultant of Forces acting along the sides of Triangle, and other topics.
Centroid of Plane Lamina and Wire Bends
Centre of Gravity, Centroid of Plane Lamina and Wire Bends, First Moment of an area, Ex: Centroid of a Triangle, and other topics.
Condition of equilibrium for concurrent forces, parallel forces and Non concurrent Non Parallel general forces and Couples.
Types of support, loads, Beams, Determination of reactions at supports for various types of loads on beams.
Equilibrium of Concurrent force system, Parallel force system and Non concurrent nonparallel force system.
Forces in space
Concept of Equlibrium, Eqilibrium of a 2-force System, Eqilibrium of 3-Force System, Free Body Diagram, Reactions due to Supports and Connections, Ex: Beam on a Hinge and Roller Support, General Steps for solution of Equilibrium related Problems, and other topics.
Two Force Members: Analysis of Plane Trusses by method of Joint and method of Section. Multi Force Member: Plane Frames
Introduction to Trusses, Types of Trusses, Method of Joints, Ex: using Method of Joints, Steps for Analysis by Method of Joints, Method of Sections, Ex: Using Method of Sections, Steps for Analysis by Method of Sections, Ex: Finding an unknown Axial Force in a member, and other topics.
Introduction to Laws of friction, Cone of friction, Equilibrium of bodies on inclined plane, Application to problems involving wedges, ladders.
Friction: Basic Concepts and Laws, Friction on Inclined Plane, Ex: Block on Inclined Plane, Ex: Block Tipping Over, and other topics.
Velocity & acceleration in terms of rectangular co-ordinate system, Rectilinear motion, Motion curves (a-t, v-t, s-t curves)
Introduction to Dynamics, Rectilinear Motion, Concept of Velocity and Accleration, Ex: Variable Accleration, Uniform Motion, Uniformly Acclerated Motion, Relative Motion, Ex: Stone thrown towards a moving Train, Dependant Motion, Ex: Dependant Motion, and other topics.
Basic Concepts, Equation of Motion in Cartesian Coordinates. Path and Polar coordinates. Motion of Projectiles.
Basic Concepts in Curvilinear Motion, Rectangular Components (cartesian co-ordinates), Analysis of Projectiles, Ex: Projectile with a variable accleration, Ex: Projectile on Inclined Plane, and other topics.
Introduction to general plane motion, Instantaneous center of rotation for the velocity, velocity diagrams for bodies in plane motion, (up to 2 linkage mechanism)
Plane Motion, Types of Plane Motion, Translation, Rectilinear and Curvilinear Translation, Rotation about an Axis, General Plane Motion, Kinematics of Translation, and other topics.
Introduction to basic concepts, D’Alemberts Principle, Equations of dynamic equilibrium, Newton’s Second law of motion.
Newton's 2nd Law of Motion, Concept of Dynamic Equilibrium, Ex: Using Newton's Law of motion and Dynamic Equilibrium concept, Ex: Two block sliding on opposite side of an inclined plane, Ex: Dependant motion of block on a pulley and inclined plane, and other topics.
Principle of Work and Energy, Law of Conservation of Energy.
Concept of Work, Worked done along a curved path or Variable Force, Work done by Gravity, Work done by Spring, Work Energy Principle, Ex: Using Work-Energy Principle, Conservative Forces, Principle of conservation of Energy, Ex: Using Principle of conservation of Energy, and other topics.
Principle of Linear Impulse and Momentum. Law of Conservation of momentum. Impact and collision.
Concept of Impulse, Impulse Momentum Principle, Principle of conservation of momentum, Impulsive Force, Ex: Batsman hits a ball, Ex: Using Impulse-Momentum to find distance, Ex: Man jumping off the cart, Basic Concepts in Analysis of Impacts, and other topics.