A two degree of freedom damped system has natural frequencies 2 rad/s and 3 rad/s and corresponding mode shapes {21}{ 2 1 } and {1−1}{ 1 − 1 } . A damping ratio of 2% is assumed for both modes. The initial displacement is {10}{ 1 0 }mm and initial velocity is {21}{ 2 1 }mm/s. The displacement of the first degree of freedom in mm at time t=3 s is A two degree of freedom damped system has natural frequencies 2 rad/s and 3 rad/s and1corresponding mode shapes {2) and}. A damping ratio of 2% is assumed for both modes.The initial displacement is {1} m mm and initial velocity is {2}mm/s. The displacement of the first{}}}degree of freedom in mm at time t=3 s is

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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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A two degree of freedom damped system has natural frequencies 2 rad/s and 3 rad/s and corresponding mode shapes {21}{ 2 1 } and {1−1}{ 1 − 1 } . A damping ratio of 2% is assumed for both modes. The initial displacement is {10}{ 1 0 }mm and initial velocity is {21}{ 2 1 }mm/s. The displacement of the first degree of freedom in mm at time t=3 s is

A two degree of freedom damped system has natural frequencies 2 rad/s and 3 rad/s and
1
corresponding mode shapes {2) and
}. A damping ratio of 2% is assumed for both modes.
The initial displacement is {1} m mm and initial velocity is {2}mm/s. The displacement of the first
{}}}
degree of freedom in mm at time t=3 s is

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