Course

UNIT 1:Simple Harmonic Motion (SHM): the governing equation, kinetic energy, total energy of particles showing SHM; Free oscillations with one degree of freedom; SHM of masses between springs.UNIT 2:Forced oscillations and resonance: Damped driven one-dimensional harmonic oscillator, Resonance, sharpness of resonance and quality factor, Examples of forced and resonant oscillations. Free oscillations of systems with two degrees of freedom, linearity, and superposition principle; Beats analytical treatmentUNIT 3:Free oscillations of systems with many degrees of freedom: Transverse and continuous mode of continuous string, General mode of continuous string; Modes of non-continuous system with N degrees of freedom.Travelling wave: Harmonic travelling waves in one dimension and phase velocities.UNIT 4:Description of wave motion: Particle velocity and wave velocity, distribution of velocity and pressure in a plane progressive wave, energy of a progressive waveUNIT 5:Modulation, Pulse, and wave packets: Group velocity, Pulse, Fourier analysis of pulses, Fourier analysis of travelling wave packets.

Course Objective: This course is framed to provide analytical knowledge of waves and oscillations and their applications in physics.Course Outcomes:At the end of the course, students will be able toCO 1: Understand the phenomenon of free oscillations in one and two degrees of freedom and their applicationsCO 2: Understand and analyze the modes of vibrations in continuous and non-continuous systems and their applicationsCO 3: Understand and analyze phenomenon of forced, damped driven and harmonic oscillations.CO 4: Apply Fourier techniques to analyze wave characteristics.

TEXT BOOKS:1.Frank S. Crawford, Jr., Waves, Berkeley Physics Course, Vol. 3, McGraw-Hill Book Company.2.N Subrahmanyam and Brij Lal, Waves and Oscillations, Vani Educational Books.3.D C Tayal and Praveen Tayal, Waves and Oscillations4.Richard Fitzpatrick, Oscillations and Waves: An Introduction.