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Advanced math physics question


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Question 1: Show that (3.48) satisfies (3.47) for r not equal to 0. Question 2: Consider two types of monochromatic plane waves propagating in the x direction in a uniform medium: (a) P-wave in which  ux=Asin⁡(ωt−kx), (b) S-wave with displacements in the y direction, i.e., uy=Asin⁡(ωt−kx). For each case, derive expressions for the nonzero components of the stress tensor.

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