Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
12th Edition
ISBN: 9781259587399
Author: Eugene Hecht
Publisher: McGraw-Hill Education
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Chapter 22, Problem 40SP

(a) At what point should a stretched string be plucked to make its fundamental tone most prominent? At what point should it be plucked and then at what point touched (b) to make its first overtone most prominent and (c) to make its second overtone most prominent?

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A uniform string length 5 m and mass 0.1 kg is placed under tension 18 N. (a) What is the frequency of its fundamental mode? (b) If the string is plucked transversely and is then touched at a point 1.8 m from one end, what frequencies persist?
A pipe 20 cm long is closed at one end. Which harmonic mode of the pipe is resonantly excited by a 430 Hz source? Will the same source be in resonance with the pipe if both ends are open? (speed of sound in air is 340 ms-1).
An organ pipe (open at both ends) is 0.85 m long. (a) What is the fundamental frequency if the speed of sound is 340 m/s? (b) What is the frequency of the fourth harmonic? (c) What is the frequency of the fifth overtone? (d) What is the wavelength of the second overtone?
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