The present book provides a comprehensive treatment of the concepts and topics by giving a vast variety of examples fully solved. The entire subject matter has been arranged in a systematic, graded, simple, lucid and exhaustive manner. Each chapter begins with some definitions followed by theorems with complete proofs and solved problems. A large number of notes and remarks have been added for a better understanding of the subject.


Composition and resolution of forces (Parallelogram law, polygon law, Lami’s Theorem, (l – m) theorem). Resultant of a number of coplanar forces, parallel forces.

Moments : Varignon’s theorem of moments, Couples Resultant of two Coplanar Couples, Equilibrium of two Coplanar Couples, Resultant of a force and a couple. Equilibrium of coplanar forces. Friction, Laws of friction, Equilibrium of a particle on a rough plane. Centre of Gravity : Centre of gravity of a rod, Triangular lamina solid hemisphere, hollow hemisphere, solid cone and hollow cone.

Vector differentiation, Gradient, divergence and curl operators, line integrals, Vector identity, Vector integration, Theorems of Gauss, Green, Stokes and problems based on these.