A machine weighing 250 lb is mounted on a supporting system consisting of four springs and four dampers. The vertical deflection of the supporting system under the weight of the machine is measured as 0.80 in. The dampers are designed to reduce the amplitude of the vibration to 1/8 of the initial amplitude after two complete cycles of the free vibration. Find the following properties of the system: a) undamped natural frequency b) damping ratio and c) damped natural frequency. Comment on the effect of damping on the natural frequency.
A machine weighing 250 lb is mounted on a supporting system consisting of four springs and four dampers. The vertical deflection of the supporting system under the weight of the machine is measured as 0.80 in. The dampers are designed to reduce the amplitude of the vibration to 1/8 of the initial amplitude after two complete cycles of the free vibration. Find the following properties of the system: a) undamped natural frequency b) damping ratio and c) damped natural frequency. Comment on the effect of damping on the natural frequency.
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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Question
A machine weighing 250 lb is mounted on a supporting system
consisting of four springs and four dampers. The vertical deflection of the supporting system
under the weight of the machine is measured as 0.80 in. The dampers are designed to
reduce the amplitude of the vibration to 1/8 of the initial amplitude after two complete
cycles of the free vibration. Find the following properties of the system:
a) undamped natural frequency
b) damping ratio and
c) damped natural frequency.
Comment on the effect of damping on the natural frequency.
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