Determine the first two natural frequencies and mode shapes, Physics

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Determine the first two natural frequencies and mode shapes

Using the Rayleigh-Ritz method, determine the first two natural frequencies and mode shapes for the longitudinal vibration of a uniform rod with a spring of stiffness k₀ attached to the free end, as shown in Figure.

Use the first two normal modes of the fixed-free rod in longitudinal motion.

1329_Rayleigh-Ritz method.jpg

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Physics: Determine the first two natural frequencies and mode shapes

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