Fundamental concepts and principles—Forces in a plane - principle of transmissibility - Forces on a particle - Coplanar Forces-Resultant of two forces-Parallelogram law, Triangular law- Resultant of several concurrent forces- Polygon Rule—Resolution and Composition of Forces - Equilibrium of a particle - Free body diagrams, Lame’s theorem - Forces in space- Equilibrium of a particle in space, Vectorial representation of forces
Moments and Couples—Moment of a force about a point and about an axis—Varignon’s theorem—Moment of couple- Equivalent systems of forces—Principle of Transmissibility—Reduction of a force and couple system - Equilibrium of rigid body in two dimension-Types of supports and their reactions - Equilibrium of rigid body in three dimension - Principle of virtual work- Simple applications in system of connected rigid bodies
Laws of dry (Coulomb) friction—coefficients of friction - Angle of friction—simple contact friction—sliding –Sliding Friction Inclined planes–Angle of Repose—Problems involving dry friction -Belt friction – Ladder friction–Wedge Friction– wheel friction (Rolling resistance).
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. Dynamics of rigid bodies: General plane motion—translation and rotation of rigid bodies
Properties of sections—area, centroids of lines, areas and volumes, moment of inertia, first moment of inertia, second moment of inertia and product of moment of inertia, polar moment of inertia, radius of gyration, mass moment of inertia of solid (rectangular prisms, cylinders and cones)
Reference Book:
Vela Murali, “Engineering Mechanics”, Oxford University Press (2010)
Text Book:
Beer, F.P and Johnston Jr. E.R. “Vector Mechanics for Engineers”, McGraw-Hill Education 11th Edition (India) Pvt Ltd. (2016).