Module I
Introduction to Mechanics: Definition and classification of mechanics – rigid body (statics
and dynamics) and deformable body mechanics.
Forces and Force systems: Force and its characteristics, Principles of statics – concept of
resultant and equilibrant, Composition and resolution of forces, force systems.
Coplanar Concurrent force system: Equilibrium of two, three and more than three forces,
Moment of a force, Varignon’s theorem of moments, Equations of equilibrium, Friction and
its effects on bodies, Engineering applications.
Coplanar Parallel force System: Two parallel forces, General case of parallel forces in a
plane, Centre of parallel forces, Centre of gravity, Centre of mass, Centroids of curves, areas
and volumes – regular and composite, Pappus’s theorems, Equilibrium of distributed forces
in a plane, Applications of the concept of centroid in engineering practice.

Module II
Moment of Inertia: Concept of moment of inertia and second moment of area, Moment of
inertia of regular and composite solids, Second moment of area of regular and irregular
surfaces, Polar moment of inertia / second moment of area, Product of inertia, Principal
moments of inertia and principal axes, Applications of the concepts in engineering practice.
Coplanar non-concurrent force system and Analysis of Plane trusses and frames:
Resultant of a general case of force system in a plane, Equilibrium equations, Concept of load
carrying mechanism in trusses and frames – internal (axial) forces, two force and multi force
members, Analysis of plane trusses by Method of joints and Method of sections, Analysis of
Plane frames by Method of members.

Module III
Principle of virtual work: Concept of virtual work and the principle of virtual work,
Applications in engineering, Equilibrium of ideal systems, Stable and unstable equilibrium.
Introduction to Dynamics: Definitions, Units, Divisions – Kinematics, Kinetics.
Rectilinear translation: Kinematics of rectilinear motion – displacement, velocity,
acceleration, Kinetics – Differential equations of motion, D'Alembert's principle in rectilinear
translation and its applications, Motion of a particle due to a constant force, Motion of a
particle due to a force proportional to displacement – Simple harmonic motion, Momentum and impulse, Work and energy, Conservation of energy, Collision of two bodies – direct
central impact.

Module IV
Curvilinear translation: Kinematics of curvilinear translation – components of
displacement, velocity and acceleration, normal and tangential acceleration, Kinetics –
Differential equations of motion, Motion of a projectile – projection on horizontal and
inclined surfaces, D'Alembert's principle in curvilinear motion and its applications, Moment
of momentum, Work and energy in curvilinear motion.
Rotation of a rigid body: Kinematics of rotation – angular displacement, velocity and
acceleration, RPM, Relations of kinematic parameters of linear and angular motions, Kinetics
– Differential equations of motion of a rigid body rotating about a fixed axis, Rotation under
the action of a constant moment, Rotation proportional to angular displacement – Compound
pendulum, D'Alemberts principle in rotation, Resultant inertia force in rotation, Principle of
angular momentum in rotation, Energy equation for rotating bodies.

References
1. Timoshenko and Young. Engineering mechanics. McGraw Hill Book Company,
Singapore. (1956)
2. Beer, F. P. and Johnston, E. R. Mechanics for engineers (Vol. 1: Statics and Vol.2:
Dynamics). Tata McGraw Hill, New Delhi.(2004).
3. Merriam, H. L. and Kraige, L. G. (2003). Engineering mechanics (Vol. 1: Statics and
Vol.2: Dynamics). John Wiley and Sons, Somerset, N.J.(2003)
4. Hibbeller, R.C. Engineering mechanics. Vol. 1: Statics, Vol. 2: Dynamics. (Twelfth
edition). Pearson Education Asia Pvt. Ltd., New Delhi.
5. Rajasekaran,S. and Sankarasubramanian,.G. Fundamentals of engineering mechanics.
(Third edition). Vikas Publishing House Pvt. Ltd., New Delhi.(2010)