A beam of length 0.4 m, with circular cross-section of uniform radius 40 mm is made of an alloy material with material properties:density = 5.000 ko/m-3Young's modulus = 90 GPaPoisson's ratio = 0.25The natural frequency of vibration for clamped-pinned boundary conditions for transverse mode 5 is:(a) 144266 2 radis(b) 379.8 radis(c) 8746.9 radis(d) 226612.8 radis(e) 1424772.8 radisThe natural frequency of vibration for fixed-fixed boundary conditions for longitudinal mode 2 is:(a) 133286.5 radis(b) 199929.7 rad/s(c) 49982.4 radis(d) 99964.9 radis(e) 66643. 2 radisThe natural frequency of vibration for fixed-free boundary conditions for torsional mode 3 is:(a) 52686. 1 radis(b) 158058.3 radis(c) 79029.2 radis(d) 39514.6 radis

Given data, Length of the beam, L = 0.4 m Radius of the beam, r = 0.04 m Density of the beam…

Answered: A beam of length 0.4 m, with circular…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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A shaft of 50 mm diameter and 0.5m long is fixed at one end and other end carries a disc of mass 500 kg. The radius of gyration of the disc is 0.5 m. Find the frequency of torsional vibration, if the modulus of rigidity for the shaft material is 80 GN/m2 .
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