Principles of statics: Introduction to vector approach – free body diagrams –forces in plane – forces in space – concurrent forces - resolution of forces –equilibrium of particle.
Statics of rigid bodies in two dimensions and three dimensions: Moment of a force about a point – moment of a force about an axis – moment of a couple – equivalent force couple system – rigid body equilibrium – support reactions.
Applications of statics: Friction – contact friction problems. Analysis of trusses –method of joints – method of sections.
Properties of surfaces and solids - Centroid, Moment of inertia, Polar moment ofinertia, Mass moment of inertia, Product of inertia and Principal moment of inertia.
Dynamics: Rectangular and cylindrical coordinate system - Combined motion of rotation and translation - Newton’s second law in rectilinear translation - D’Alembert’sprinciple - Mechanical vibration - free and forced vibrations, resonance and its effects; Degree of freedom; Frequency and amplitude of free vibrations without damping and single degree of freedom system, simple problems