Although it may be hard to do physically, it is not hard to imagine a circular membrane with a free rim. (a) Write the general expression for the normal modes. (b) Sketch the nodal patterns for the three normal modes with the lowest natural frequencies. (c) Find the frequencies of these three normal modes in terms of the tension and surface density.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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4.4.2. Although it may be hard to do physically, it is not hard to imagine a circular
membrane with a free rim. (a) Write the general expression for the normal modes.
(b) Sketch the nodal patterns for the three normal modes with the lowest natural
frequencies. (c) Find the frequencies of these three normal modes in terms of the
tension and surface density.
Transcribed Image Text:4.4.2. Although it may be hard to do physically, it is not hard to imagine a circular membrane with a free rim. (a) Write the general expression for the normal modes. (b) Sketch the nodal patterns for the three normal modes with the lowest natural frequencies. (c) Find the frequencies of these three normal modes in terms of the tension and surface density.
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