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Statement of a problem № 3489

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A 2 kg mass is hung on a steel wire of 1x10^(-5) m2 cross-sectional area and 1.0 m length. (a) Calculate the fundamental frequency of vertical oscillations of the mass by considering it to be a simple oscillator and (b) calculate the fundamental frequency of vertical oscillations of the mass by regarding it as a system of longitudinally vibrating bar fixed at one end and mass-loaded at the other. Assume Y = 210^11 N/m2 and s = 7800 kg/m2 for steel.

Solution:
A 2 kg mass is hung on a steel wire of 1x10^(-5) m2 cross-sectional area and 1.0

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