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Problem 1 (4 points) The mass m, is supported by a solid, elastic rod, as shown in the figure, and oscillates vertically. The rod has a length L, cross-sectional area A, and a modulus of elasticity E. (a) If the mass of the rod is negligible, find the natural frequency of oscillation. (b) If the rod has a mass ma, find the equivalent mass of the system and the natural frequency of oscillation.

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