The beam shown in Fig. 4 is loaded with an air conditioning (AC) unit at its tip. The AC unitproduces an unbalanced force of 200 kg which varies sinusoidally. When the speed of the AC unit isvaried, it is found that the maximum steady-state amplitude of vibration is 34.6 mm. Given that EI =40×103 kNm² and mass of the unit is 2000 kg. Ignore the mass of the beam. Determine:(i)The damping ratio(ii)The maximum deflection when the unit's speed is 100 rpm.A.C.UNITAB6 mAns. (i) 5.1%; (ii) 41.1 mm.

The question asks you to find the damping ratio and the maximum deflection of the beam when the…

Answered: The beam shown in Fig. 4 is loaded with…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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Question

The beam shown in Fig. 4 is loaded with an air conditioning (AC) unit at its tip. The AC unit
produces an unbalanced force of 200 kg which varies sinusoidally. When the speed of the AC unit is
varied, it is found that the maximum steady-state amplitude of vibration is 34.6 mm. Given that EI =
40×103 kNm² and mass of the unit is 2000 kg. Ignore the mass of the beam. Determine:
(i)
The damping ratio
(ii)
The maximum deflection when the unit's speed is 100 rpm.
A.C.
UNIT
A
B
6 m
Ans. (i) 5.1%; (ii) 41.1 mm.

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