Introduction - Units and Dimensions - Vectorial representation of forces and moments –Coplanar Forces - Laws of Mechanics - Lame’s theorem, Parallelogram and triangular Law of forces -Resolution and Composition of forces -Equilibrium of a particle - Principle of transmissibility -Single equivalent force - Free body diagram
Types of supports and their reactions -requirements of 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 -Equilibrium of Rigid bodies in two dimensions –Forces in space -Equilibrium of a particle in space - Equivalent systems of forces - Equilibrium of Rigid bodies in three dimensions -Examples
Determination of centroid of areas, volumes and mass - Pappus and Guldinus theorems - moment of inertia of plane and areas- Parallel axis theorem and perpendicular axis theorem, radius of gyration of area- product of inertia- mass moment of inertia.
Displacements, Velocity and acceleration, their relationship - Relative motion -Curvilinear motion -Newton’s law -Work Energy Equation of particles -Impulse and Momentum -Impact of elastic bodies
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.
Reference Book:
Vela Murali, “Engineering Mechanicsâ€, Oxford University Press (2010) (Unit I,II,III,IV,V) D.P.Sharma “Engineering Mechanicsâ€, Dorling Kindersley (India) Pvt. Ltd, New Delhi 2010. (Unit I,II,III,IV,V) Dr.I.SGujral “Engineering Mechanical†second edition, 2011, Lakshmi Publication (P).Ltd. (Unit I,II,III,IV,V) Arthur P. Boresi and Richard J. Schmidt, “Engineering Mechanics: Statics and Dynamicsâ€, Thomson Asia Private Limited, Singapore, 2010. (Unit I,II,III,IV,V) Hibbeller, R.C., “Engineering Mechanicsâ€, 14th edition, Prentice hall (2016). (Unit I,II,III,IV,V)
Text Book:
Beer, F.P and Johnston Jr. E.R. “Vector Mechanics for Engineersâ€, McGraw-Hill Education 11th Edition (India) Pvt Ltd. (2016). (Unit I,II,III,IV,V) J.L.Meriam& L.G. Karidge, Engineering Volume I) and Engineering Mechanics: Dynamics, 8th edition, Wiley student edition, 2016. (I,II,III)