A steel cantilever beam, possessing a mass of (0.04 mathrm{~kg}) at the free end, is used as

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A steel cantilever beam, possessing a mass of \(0.04 \mathrm{~kg}\) at the free end, is used as a frequency meter. \({ }^{7}\) The beam has a length of \(0.3 \mathrm{~m}\), width of \(6 \mathrm{~mm}\), and thickness of \(1.8 \mathrm{~mm}\). The internal friction is equivalent to a damping ratio of 0.01. When the fixed end of the beam is subjected to a harmonic displacement \(y(t)=1.2 \cos \omega t \mathrm{~mm}\), the maximum tip displacement has been observed to be \(60 \mathrm{~mm}\). Assuming the density of steel to be \(8000 \mathrm{~kg} / \mathrm{m}^{3}\), find the forcing frequency.

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Mechanical Vibrations

ISBN: 9780134361925

6th Edition

Authors: Singiresu S Rao

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