#### GE6253 – ENGINEERING MECHANICS SYLLABUS (REGULATION 2013) AFFILIATED TO ANNA UNIVERSITY (SEMESTER 2)

##### UNIT I BASICS AND STATICS OF PARTICLES

(GE6253) 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 ELEMENTS OF 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.

### Course Curriculum

 Unit 1 Basics & statics of particles overview FREE 00:30:00 Engineering mechanics introduction FREE 00:30:00 Law’s of mechanics , Newton’s law FREE 00:00:00 Lami’s Theorm FREE 00:00:00 Parallelogram law of forces 00:00:00 Triangular law of forces, Principle of transmissibility of forces 00:00:00 vectorial representation of moment about a point 00:00:00 Coplanar forces 00:30:00 Resolution of forces 00:00:00 Problems on magnitude of forces 00:00:00 problems on resultant forces 00:00:00 Free body diagram (sphere , roller) 00:30:00 Problems on sphere & rollers 00:00:00 unit 2 Equilibrium of rigid bodies introduction 00:30:00 Free body diagram of blocks , supports , sphere 00:30:00 Supports & types 00:00:00 Types of beams 00:00:00 Types of equilibrium 00:00:00 Moment of forces 00:00:00 Principle moment 00:00:00 vectorial representation of moment about a point 00:00:00 Scalar components of a moment 00:00:00 Single equivalent of forces 00:00:00 problems on system of forces in equilibrium 00:00:00 Unit 3 Properties of surface and solids introduction 00:00:00 Centroid & center of mass 00:30:00 Centroid of composite plane figure, theorem of papus 00:30:00 Problems related to centroid 00:00:00 Moment of inertia 00:00:00 Parallel axis theorem 00:00:00 Perpendicular axis theorem 00:00:00 Area moment of inertia 00:30:00 Problems on moment of inertia 00:00:00 Problems on principle moment of inertia 00:00:00 Mass moment of inertia & problem 00:00:00 Mass moment of inertia of prism, solid cylinder , sphere 00:00:00 Mass moment of inertia problem 2 00:00:00 Unit 4 Dynamics of particles introduction 00:30:00 Rectilinear motion , relative motion 00:00:00 Basic terms related to plane motion 00:30:00 Types of rectilinear motion, Equations of motion rectilinear, under gravity, uniform acceleration 00:00:00 Problems on Equation of linear motions (part 1) 00:00:00 Problems on equation of linear motion (part 2) 00:00:00 Curvilinear motion 00:30:00 Problems on curvilinear motion 00:00:00 Newton’s second law of motion 00:00:00 problems on newton’s law of motion 00:00:00 Work energy equation, principle of work energy 00:00:00 Problems on work energy 00:00:00 Impulse & momentum 00:00:00 problems on impulse & momentum 00:00:00 Unit 5 Friction & elements of rigid bodies basics 00:30:00 Problems involving dry friction 00:00:00 Wedge friction & problems 00:00:00 Rolling resistance & problems 00:00:00 Translation & rotation of a rigid body, basic terms, comparison between linear and angular motion 00:00:00 Problems on angular motion 00:00:00 General plane motion, Rolling of wheel without slipping 00:00:00

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