# GE8292 – Engineering Mechanics – Regulation 2017 Syllabus

## GE8292 – SYLLABUS

### UNIT I STATICS OF PARTICLES

Introduction — Units and Dimensions — Laws of Mechanics — Lami?s theorem, Parallelogram and triangular Law of forces — Vectorial representation of forces — Vector operations of forces — additions, subtraction, dot product, cross product — Coplanar Forces — rectangular components — Equilibrium of a particle — Forces in space — Equilibrium of a particle in space — Equivalent systems of forces — Principle of transmissibility .

### UNIT II EQUILIBRIUM OF RIGID BODIES

Free body diagram — Types of supports –Action and reaction forces –stable equilibrium — Moments and Couples — Moment of a force about a point and about an axis — Vectorial representation of moments and couples — Scalar components of a moment — Varignon?s theorem — Single equivalent force -Equilibrium of Rigid bodies in two dimensions — Equilibrium of Rigid bodies in three dimensions

### UNIT III PROPERTIES OF SURFACES AND SOLIDS

Centroids and centre of mass — Centroids of lines and areas — Rectangular, circular, triangular areas by integration — T section, I section, — Angle section, Hollow section by using standard formula –Theorems of Pappus — Area moments of inertia of plane areas — Rectangular, circular, triangular areas by integration — T section, I section, Angle section, Hollow section by using standard formula — Parallel axis theorem and perpendicular axis theorem — Principal moments of
inertia of plane areas — Principal axes of inertia-Mass moment of inertia –mass moment of inertia for prismatic, cylindrical and spherical solids from first principle — Relation to area moments of inertia.

### UNIT IV DYNAMICS OF PARTICLES

Displacements, Velocity and acceleration, their relationship — Relative motion — Curvilinear motion — Newton?s laws of motion — Work Energy Equation– Impulse and Momentum — Impact of elastic bodies.

### UNIT V FRICTION AND RIGID BODY DYNAMICS

Friction force — Laws of sliding friction — equilibrium analysis of simple systems with sliding friction–wedge friction-. Rolling resistance -Translation and Rotation of Rigid Bodies — Velocity and acceleration — General Plane motion of simple rigid bodies such as cylinder, disc/wheel and sphere.