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Q.5 The rotating unbalance of a 185 kg machine is 0.65 kg.m. The machine is paced at the midspan of a 2.5-m-long simply supported beam. The machine operates at a speed of 1480 rpm. The beam has an elastic modulus of 210 x 10 N/m² and a second moment of area of 2.3x10 m (a) What is the steady-state amplitude of the primary system without an absorber? (b) Design the dynamic vibration absorber of minimum mass such that, when attached to the midspan of the beam, the vibrations of the beam will cease and the steady-state amplitude of the absorber will be less than 2 cm. (25%)

Q.5 The rotating unbalance of a 185 kg machine is 0.65 kg.m. The machine is paced at the midspan of a 2.5-m-long simply supported beam. The machine operates at a speed of 1480 rpm. The beam has an elastic modulus of 210 x 10 N/m² and a second moment of area of 2.3x10 m (a) What is the steady-state amplitude of the primary system without an absorber? (b) Design the dynamic vibration absorber of minimum mass such that, when attached to the midspan of the beam, the vibrations of the beam will cease and the steady-state amplitude of the absorber will be less than 2 cm. (25%)

Elements Of Electromagnetics
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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Q.5 The rotating unbalance of a 185 kg machine is 0.65 kg.m. The machine is paced at the midspan of a 2.5-m-long simply supported beam. The machine operates at a speed of 1480 rpm. The beam has an elastic modulus of 210 x 10 N/m² and a second moment of area of 2.3x10 m (a) What is the steady-state amplitude of the primary system without an absorber? (b) Design the dynamic vibration absorber of minimum mass such that, when attached to the midspan of the beam, the vibrations of the beam will cease and the steady-state amplitude of the absorber will be less than 2 cm. (25%)
Transcribed Image Text:Q.5 The rotating unbalance of a 185 kg machine is 0.65 kg.m. The machine is paced at the midspan of a 2.5-m-long simply supported beam. The machine operates at a speed of 1480 rpm. The beam has an elastic modulus of 210 x 10 N/m² and a second moment of area of 2.3x10 m (a) What is the steady-state amplitude of the primary system without an absorber? (b) Design the dynamic vibration absorber of minimum mass such that, when attached to the midspan of the beam, the vibrations of the beam will cease and the steady-state amplitude of the absorber will be less than 2 cm. (25%)
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