Given the equations of motion {x(t)} and mode shapes {u},and {u}2 where:10.00 0.0069.00 -44.00|{x(t}}+{x(t)}=0,0.00 6.00-44.00 44.000.80and {u}2=-0.75{u}1.Which of the following initial conditions excite the first mode of motion only.0.80%3D1.001.17{x,} =1.000.70{x,} =1.450.800.70

Given: To find: Initial conditions that excite first mode only

Given the equations of motion {x(t)} and mode shapes {u}, and {u}2 where: 10.00 0.00 69.00 -44.00 0.00 6.00 {x(t)}+ {x(t)}=0, -44.00 44.00 0.80 and {u}2 1 -0.75 {u}1 Which of the following initial conditions excite the first mode of motion only. 0.80 {x} = {x,} = 1.00 1.17 {x,} = x) = 1.00 0.70 {x}= 1.45 0.80 {x} = 0.70

Given the equations of motion {x(t)} and mode shapes {u}, and {u}2 where: 10.00 0.00 69.00 -44.00 0.00 6.00 {x(t)}+ {x(t)}=0, -44.00 44.00 0.80 and {u}2 1 -0.75 {u}1 Which of the following initial conditions excite the first mode of motion only. 0.80 {x} = {x,} = 1.00 1.17 {x,} = x) = 1.00 0.70 {x}= 1.45 0.80 {x} = 0.70

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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Concept explainers

Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.

Question

Given the equations of motion {x(t)} and mode shapes {u},and {u}2 where:
10.00 0.00
69.00 -44.00
|{x(t}}+
{x(t)}=0,
0.00 6.00
-44.00 44.00
0.80
and {u}2=
-0.75
{u}
1.
Which of the following initial conditions excite the first mode of motion only.
0.80
%3D
1.00
1.17
{x,} =
1.00
0.70
{x,} =
1.45
0.80
0.70

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