CAS PROJECT. Normal Modes. (a) Graph the nOimal modes 114'
Chapter 12, Problem 12.9(choose chapter or problem)
CAS PROJECT. Normal Modes. (a) Graph the nOimal modes 114' 115' 116 as in Fig. 306. (b) Write a program for calculating the Am's in Example 1 and extend the table to III = 15. Verify numerically that am = (Ill - ~) 7T and compute the error for 111 = 1, . . . , 10. (c) Graph the initial deflection fer) in Example 1 as well as the fIrst three partial sums of the series. Comment on accuracy. (d) Compute the radii of the nodal lines of U2' U3' 114 when R = I. How do these values compare to those of the nodes of the vibrating string of length I? Can you establish any empirical laws by experimentation with further 11m?
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