Physics of Wave and Oscillation-E2
| Numbering Code | U-LAS12 10032 LE57 | Year/Term | 2022 ・ First semester | |
|---|---|---|---|---|
| Number of Credits | 2 | Course Type | Lecture | |
| Target Year | Mainly 2nd year students | Target Student | For science students | |
| Language | English | Day/Period | Fri.4 | |
| Instructor name | BANERJEE, Amit (Graduate School of Engineering Senior Lecturer) | |||
| Outline and Purpose of the Course |
This course aims to introduce fundamental concepts of oscillation and wave related phenomena in physical systems through theoretical explanations and (some) experimental demonstrations. |
|||
| Course Goals |
Physics of oscillation and wave related phenomenon is a fundamental tool for understanding nature and many brunches of modern technology. In my opinion, it is also one of the most 'fun' topics in physics to study! In this course, we will begin our study with the simplest situation involving oscillation of one particle and slowly build up a comprehensive theoretical understanding of complex vibrations and wave. Also, whenever possible, we will test these theories through experimental demonstrations. My primary objectives in this course are: (1) to clearly explain the fundamental theoretical concepts of oscillation and wave related phenomena in physical systems, (2) to show experimental verification of these concepts wherever possible, (3) to elaborate the technological significance of these concepts, (4) to motivate practical problem solving. |
|||
| Schedule and Contents |
1. Introduction to the physics of oscillation and waves. Oscillation of a single particle: simple harmonic motion, equation of motion and its solution, potential and kinetic energies; damped harmonic oscillator and Quality factor; damped-forced vibration and the phenomenon of resonance; superposition principle. (6 weeks) 2. Coupled oscillators: coupled oscillation of two particles; normal modes; 3 coupled oscillators; N-coupled oscillators. (4 weeks) 3. Waves: wave equation and its solutions; longitudinal and transverse waves; normal modes of a string under tension; standing and travelling waves; Fourier decomposition of plucked strings' vibration; dispersion, group and phase velocities. (4 weeks) 4. Feedback（1 Week） |
|||
| Evaluation Methods and Policy | Evaluation procedure: active participation (10%), one assignment (40%), and final examination (50%) | |||
| Course Requirements | Basic knowledge of trigonometry and Newton's laws is required. Some understanding of complex numbers will be helpful. | |||
| Study outside of Class (preparation and review) | Following study materials and working on assignment / homework | |||
| Textbooks | Textbooks/References | Vibrations and Waves, A. P. French, (CBS Publishers & Distributors), ISBN:8123909144, 9788123909141, The M.I.T. Introductory Physics Series, 2003 | ||
