1. Possible waves in a solid include longitudinal and transverse waves moving in bulk material, as well as longitudinal, transverse and torsional waves moving along a thin circular rad. (a) Which one of these types does NOT obey the wave equation (as derived for a wave on a string)? (b) Name two types of waves that both travel at the same speed. (c) Poisson's ratio v describes how much a rod will become thinner as it is stretched out, and can take values between O and X. Use these two values to show that torsional waves in a circular rod can travel between about 58% and 71% of the speed of a longitudinal wave along a thin rod of the same material, depending on the value of Poissan's ratio.
1. Possible waves in a solid include longitudinal and transverse waves moving in bulk material, as well as longitudinal, transverse and torsional waves moving along a thin circular rad. (a) Which one of these types does NOT obey the wave equation (as derived for a wave on a string)? (b) Name two types of waves that both travel at the same speed. (c) Poisson's ratio v describes how much a rod will become thinner as it is stretched out, and can take values between O and X. Use these two values to show that torsional waves in a circular rod can travel between about 58% and 71% of the speed of a longitudinal wave along a thin rod of the same material, depending on the value of Poissan's ratio.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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