A simply supported beam of square cross section 5 mm x 5 mm and length 1 m, carrying a mass of 2.3 kg at the middle, is found to have a natural frequency of transverse vibration of 30 rad/s. Deter- mine the Young's modulus of elasticity of the beam.

A simply supported beam of square cross section 5 mm x 5 mm and length 1 m, carrying a mass of 2.3 kg at the middle, is found to have a natural frequency of transverse vibration of 30 rad/s. Deter- mine the Young's modulus of elasticity of the beam.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.

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Solve it correctly please. I will rate accordingly with 4votes.

A simply supported beam of square cross section 5 mm X 5 mm and length 1 m, carrying a mass of
2.3 kg at the middle, is found to have a natural frequency of transverse vibration of 30 rad/s. Deter-
mine the Young's modulus of elasticity of the beam.

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