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.

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