Mechanics and Properties
of Matter
Units and Measurements. Brief Introduction to Vectors. Force: Fundamental Forces.
Linear Motion. Work and Energy. Conservation Laws in the Physical World. Circular
Motion and Rotational dynamics. Comparison between Translational Motion and
Rotational Motion, Torques and moments of inertia, Angular Momentum, Precession,
Motion of a Spinning Top, Gyroscope, Rotating Frames of Reference, Inertial
forces, Principal axes, Inertia tensor. Elasticity: Poisson's Ratio and Relations
between Elastic Constants, Bending of a Beam. Surface Tension. Mechanics of
Fluids: Buoyancy and Archimedes’ Principle, Work-energy and Bernoulli's
Equation and applications. Viscosity.
Electric Circuit Fundamentals
Introduction of using complex numbers in AC circuits, Current Electricity, Constant
voltage source, Constant current source, Conversion of voltage source into equivalent
current source and vice-versa, Network theorems: Ohm’s law, Kirchoff laws,
Maxwell’s cyclic currents law, superposition theorem, Thevenin’s
theorem and Norton’s theorem, Loop equations and loop analysis, Maximum
power transfer and matching theorems, Delta-star transformation, Star-delta
transformation, Self inductance and mutual inductance, Series and parallel inductors,
A/C Circuits of Inductors (L), capacitors (C) and resistors (R), Alternating
current theory, Vector method for L-C-R series and parallel circuits, Power
dissipation of L-C-R circuit, Power factor, quality factor, resonance and band
width, AC bridges.