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A simply supported beam of length L has constant flexural rigidity EI and a mass distributionm(x) = 2m0 (x)/(L) for 0 ≤ x ≤(L)/(2) 2m0 (1 - (x)/(L)) for (L)/(2)≤ x ≤ LDetermine the first two natural frequencies and modes of symmetric vibration of this nonuniformbeam by the Rayleigh-Ritz method, using two modes of the uniform beam as the shape functions
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