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тi т. oo00 o000 x¡(t x2(1) FIGURE 5.4.13. The two railway cars of If cars 1 and 2 weigh 8 and 16 tons, respectively, and k = 3000 lb/ft, show that the two cars separate alfter 1/3 seconds, and that xí() = -}vo and x(1) = +3vo thereafter. Thus the two cars rebound in opposite direc- tions.

тi т. oo00 o000 x¡(t x2(1) FIGURE 5.4.13. The two railway cars of If cars 1 and 2 weigh 8 and 16 tons, respectively, and k = 3000 lb/ft, show that the two cars separate alfter 1/3 seconds, and that xí() = -}vo and x(1) = +3vo thereafter. Thus the two cars rebound in opposite direc- tions.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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тi т. oo00 o000 x¡(t x2(1) FIGURE 5.4.13. The two railway cars of If cars 1 and 2 weigh 8 and 16 tons, respectively, and k = 3000 lb/ft, show that the two cars separate alfter 1/3 seconds, and that xí() = -}vo and x(1) = +3vo thereafter. Thus the two cars rebound in opposite direc- tions.
Transcribed Image Text:тi т. oo00 o000 x¡(t x2(1) FIGURE 5.4.13. The two railway cars of If cars 1 and 2 weigh 8 and 16 tons, respectively, and k = 3000 lb/ft, show that the two cars separate alfter 1/3 seconds, and that xí() = -}vo and x(1) = +3vo thereafter. Thus the two cars rebound in opposite direc- tions.
Expert Solution
Step 1

Draw the free-body diagram of the system.

Mechanical Engineering homework question answer, step 1, image 1

Step 2

Write the system of equation for the spring-mass system.

Mechanical Engineering homework question answer, step 2, image 1

Here,

Mechanical Engineering homework question answer, step 2, image 2

Write the expression of the eigenvalues.

Mechanical Engineering homework question answer, step 2, image 3

Step 3

Write the expression of the Eigenvector for the first Eigenvalue.

Mechanical Engineering homework question answer, step 3, image 1

Thus the Eigenvector associated with the first Eigenvalue.

Mechanical Engineering homework question answer, step 3, image 2

Write the expression of the Eigenvector for the second Eigenvalue.

Mechanical Engineering homework question answer, step 3, image 3

Thus the Eigenvector associated with the second Eigenvalue.

Mechanical Engineering homework question answer, step 3, image 4

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