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.