MIT Vibrations and Waves Problem Solving Help Videos, Fall 2012 - 6. Standing Waves Part I

View the complete OCW resource: http://ocw.mit.edu/resources/res-8-005-vibrations-and-waves-problem-solving-fall-2012/ Instructor: Wit Busza Continued discussion of systems with infinite degrees of freedom, where oscillators are identical, harmonic, connected only to their neighbors, and the solution to the wave equation is described as the superposition of normal modes (Fourier analysis). *NOTE: These videos were originally produced as part of a physics course that is no longer available on OCW.* Chapters 0:00:00 Title slate 0:00:21 Standing waves intro 0:00:30 First problem: A string attached at both ends. What is the wavelength of the lowest mode. 0:04:41 Alternative derivation using progressive waves reflected at both ends of the string. 0:29:27 Fourier analysis of a system consisting of a taut string fixed at both ends which, before it is released, is stationary and has a rectangular shape. License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu