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: Equation of motion Natural Angular Frequency Natural Period Natural Cyclic Frequency Displacement of the system after 2 seconds

Sustainable Energy
2nd Edition
ISBN:9781337551663
Author:DUNLAP, Richard A.
Publisher:DUNLAP, Richard A.
Chapter18: Energy Storage
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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: Equation of motion Natural Angular Frequency Natural Period Natural Cyclic Frequency Displacement of the system after 2 seconds
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