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. A- Find eq. of motion for the system. B- Radial natural frequency. C- Linear natural frequency. D- Periodic time. E- Displacement ,velocity & acceleration if x(0)=0, v(0)=0.

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. A- Find eq. of motion for the system. B- Radial natural frequency. C- Linear natural frequency. D- Periodic time. E- Displacement ,velocity & acceleration if x(0)=0, v(0)=0.

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

Strain Gauges

All the components used in civil engineering and mechanical engineering applications undergo deformations due to induced internal stresses under the application of external loads. Under repeated application of loads, there is a high possibility of failure of the components. Hence, periodic monitoring of the components and determination of stresses are very important.

Question

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 rads.
A- Find eq. of motion for the system.
B- Radial natural frequency .
C- Linear natural frequency.
D- Periodic time.
E- Displacement ,velocity & acceleration if x(0)=0, v(0)=0.
H W-2

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