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.
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.
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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Transcribed Image Text: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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