# GE8292 – ENGINEERING MECHANICS Regulation 2017

#### 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.

### Course Curriculum

 UNIT I STATICS OF PARTICLES GE8292- unit 1 -Basics & statics of particles overview FREE 00:30:00 GE8292- unit 1 -Engineering mechanics introduction FREE 00:30:00 GE8292- unit 1 -Law’s of mechanics , Newton’s law FREE 00:00:00 GE8292- unit 1 -Lami’s Theorm FREE 00:00:00 GE8292- unit 1 -Parallelogram law of forces 00:00:00 GE8292- unit 1 -Triangular law of forces, Principle of transmissibility of forces 00:00:00 GE8292- unit 1 -vectorial representation of moment about a point 00:00:00 GE8292- unit 1 -Coplanar forces 00:30:00 GE8292- unit 1 -Resolution of forces 00:00:00 GE8292- unit 1 -Problems on magnitude of forces 00:00:00 GE8292- unit 1 -problems on resultant forces 00:00:00 GE8292- unit 1 -Free body diagram (sphere , roller) 00:30:00 GE8292- unit 1 -Problems on sphere & rollers 00:00:00 UNIT II EQUILIBRIUM OF RIGID BODIES GE8292- unit 2 -Equilibrium of rigid bodies introduction 00:30:00 GE8292- unit 2 -Free body diagram of blocks , supports , sphere 00:30:00 GE8292- unit 2 -Supports & types 00:00:00 GE8292- unit 2 -Types of beams 00:00:00 GE8292- unit 2 -Types of equilibrium 00:00:00 GE8292- unit 2 -Moment of forces 00:00:00 GE8292- unit 2 -Principle moment 00:00:00 GE8292- unit 2 -vectorial representation of moment about a point 00:00:00 GE8292- unit 2 -Scalar components of a moment 00:00:00 GE8292- unit 2 -Single equivalent of forces 00:00:00 GE8292- unit 2 -problems on system of forces in equilibrium 00:00:00 UNIT III PROPERTIES OF SURFACES AND SOLIDS GE8292- unit 3 -Properties of surface and solids introduction 00:00:00 GE8292- unit 3 -Centroid & center of mass 00:30:00 GE8292- unit 3 -Centroid of composite plane figure, theorem of papus 00:30:00 GE8292- unit 3 -Problems related to centroid 00:00:00 GE8292- unit 3 -Moment of inertia 00:00:00 GE8292- unit 3 -Parallel axis theorem 00:00:00 GE8292- unit 3 -Perpendicular axis theorem 00:00:00 GE8292- unit 3 -Area moment of inertia 00:30:00 GE8292- unit 3 -Problems on moment of inertia 00:00:00 GE8292- unit 3 -Problems on principle moment of inertia 00:00:00 GE8292- unit 3 -Mass moment of inertia & problem 00:00:00 GE8292- unit 3 -Mass moment of inertia of prism, solid cylinder , sphere 00:00:00 GE8292- unit 3 -Mass moment of inertia problem 2 00:00:00 UNIT IV DYNAMICS OF PARTICLES GE8292- unit 4 -Dynamics of particles introduction 00:30:00 GE8292- unit 4 -Rectilinear motion , relative motion 00:00:00 GE8292- unit 4 -Basic terms related to plane motion 00:30:00 GE8292- unit 4 -Types of rectilinear motion, Equations of motion rectilinear, under gravity, uniform acceleration 00:00:00 GE8292- unit 4 -Problems on Equation of linear motions (part 1) 00:00:00 GE8292- unit 4 -Problems on equation of linear motion (part 2) 00:00:00 GE8292- unit 4 -Curvilinear motion 00:30:00 GE8292- unit 4 -Problems on curvilinear motion 00:00:00 GE8292- unit 4 -Newton’s second law of motion 00:00:00 GE8292- unit 4 -problems on newton’s law of motion 00:00:00 GE8292- unit 4 -Work energy equation, principle of work energy 00:00:00 GE8292- unit 4 -Problems on work energy 00:00:00 GE8292- unit 4 -Impulse & momentum 00:00:00 GE8292- unit 4 -problems on impulse & momentum 00:00:00 UNIT V FRICTION AND RIGID BODY DYNAMICS GE8292- unit 5 -Friction & elements of rigid bodies basics 00:30:00 GE8292- unit 5 -Problems involving dry friction 00:00:00 GE8292- unit 5 -Wedge friction & problems 00:00:00 GE8292- unit 5 -Rolling resistance & problems 00:00:00 GE8292- unit 5 -Translation & rotation of a rigid body, basic terms, comparison between linear and angular motion 00:00:00 GE8292- unit 5 -Problems on angular motion 00:00:00 GE8292- unit 5 -General plane motion, Rolling of wheel without slipping 00:00:00
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