GE8292 – NOTES & QP
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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.