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Please explain how was the displacement of the system after 2 seconds was solved to be 5.11 m.  (Please explain how was it solved in the picture given.) Question: A water tank on a column has a mass of 4000 kg. The supporting column is assumed to be massless and has a stiffness of 30,000 N/m. If the system is under free vibration where initial displacement is 15 mm and the initial velocity is 20 mm/s, Determine the following: Displacement of the system after 2 seconds

Please explain how was the displacement of the system after 2 seconds was solved to be 5.11 m.  (Please explain how was it solved in the picture given.) Question: A water tank on a column has a mass of 4000 kg. The supporting column is assumed to be massless and has a stiffness of 30,000 N/m. If the system is under free vibration where initial displacement is 15 mm and the initial velocity is 20 mm/s, Determine the following: Displacement of the system after 2 seconds

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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Please explain how was the displacement of the system after 2 seconds was solved to be 5.11 m.  (Please explain how was it solved in the picture given.)

Question:
A water tank on a column has a mass of 4000 kg. The supporting column is assumed to be massless and has a stiffness of 30,000 N/m. If the system is under free vibration where initial displacement is 15 mm and the initial velocity is 20 mm/s, Determine the following:

  • Displacement of the system after 2 seconds
The solution of equation of motion is uct) = Ucos Coglnt + Ü6) %3D Wn The disbacoment afteg 28 is Uca) = 15co8 (2.74 x2) + 20 Sm (2.74 x2) = 5.11 mm %3D 2.74
Transcribed Image Text:The solution of equation of motion is uct) = Ucos Coglnt + Ü6) %3D Wn The disbacoment afteg 28 is Uca) = 15co8 (2.74 x2) + 20 Sm (2.74 x2) = 5.11 mm %3D 2.74
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