ME3351 ENGINEERING MECHANICS

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Syllabus

ME3351 ENGINEERING MECHANICS

UNIT I STATICS OF PARTICLES

Fundamental Concepts and Principles, Systems of Units, Method of Problem Solutions, Statics of

Particles -Forces in a Plane, Resultant of Forces, Resolution of a Force into Components,

Rectangular Components of a Force, Unit Vectors. Equilibrium of a Particle- Newton’s First Law of

Motion, Space and Free-Body Diagrams, Forces in Space, Equilibrium of a Particle in Space.

UNIT II EQUILIBRIUM OF RIGID BODIES

Principle of Transmissibility, Equivalent Forces, Vector Product of Two Vectors, Moment of a Force

about a Point, Varignon’s Theorem, Rectangular Components of the Moment of a Force, Scalar

Product of Two Vectors, Mixed Triple Product of Three Vectors, Moment of a Force about an Axis,

Couple - Moment of a Couple, Equivalent Couples, Addition of Couples, Resolution of a Given

Force into a Force -Couple system, Further Reduction of a System of Forces, Equilibrium in Two

and Three Dimensions - Reactions at Supports and Connections.

UNIT III DISTRIBUTED FORCES

Centroids of lines and areas – symmetrical and unsymmetrical shapes, Determination of Centroids

by Integration , Theorems of Pappus-Guldinus, Distributed Loads on Beams, Centre of Gravity of

a Three-Dimensional Body, Centroid of a Volume, Composite Bodies , Determination of Centroids

of Volumes by Integration. Moments of Inertia of Areas and Mass - Determination of the Moment

of Inertia of an Area by Integration, Polar Moment of Inertia , Radius of Gyration of an Area ,

Parallel-Axis Theorem , Moments of Inertia of Composite Areas, Moments of Inertia of a Mass -

Moments of Inertia of Thin Plates , Determination of the Moment of Inertia of a Three-Dimensional

Body by Integration.

UNIT IV FRICTION

The Laws of Dry Friction, Coefficients of Friction, Angles of Friction, Wedge friction, Wheel Friction,

Rolling Resistance, Ladder friction.

UNIT V DYNAMICS OF PARTICLES

Kinematics - Rectilinear Motion and Curvilinear Motion of Particles. Kinetics- Newton’s Second Law

of Motion -Equations of Motions, Dynamic Equilibrium, Energy and Momentum Methods - Work of a

Force, Kinetic Energy of a Particle, Principle of Work and Energy, Principle of Impulse and

Momentum, Impact of bodies.