Problem #8: A system of differential equations can be created for two masses connected by springs between one another, and connected to opposing walls. The dependent variables form a 4 × 1 vector y consisting of the displacement and velocity of each of the two masses. For the system y' = Ay, the matrix A is given by: Problem #8: 0 0 0 1 0 0 0 1 -50 8 -6 0 8 -50 0 -6 Because the system oscillates, there will be complex eigenvalues. Find the eigenvalue associated with the following eigenvector. -8i 8i 56 + 24i -56 - 24i Just Save Problem #8 Your Answer: Your Mark: if your answer is a + bi, then enter a,b in the answer box Submit Problem #8 for Grading Attempt #1 Attempt #2 Attempt #3
Problem #8: A system of differential equations can be created for two masses connected by springs between one another, and connected to opposing walls. The dependent variables form a 4 × 1 vector y consisting of the displacement and velocity of each of the two masses. For the system y' = Ay, the matrix A is given by: Problem #8: 0 0 0 1 0 0 0 1 -50 8 -6 0 8 -50 0 -6 Because the system oscillates, there will be complex eigenvalues. Find the eigenvalue associated with the following eigenvector. -8i 8i 56 + 24i -56 - 24i Just Save Problem #8 Your Answer: Your Mark: if your answer is a + bi, then enter a,b in the answer box Submit Problem #8 for Grading Attempt #1 Attempt #2 Attempt #3
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Problem #8: A system of differential equations can be created for two masses connected by springs between one another, and
connected to opposing walls. The dependent variables form a 4 × 1 vector y consisting of the displacement and
velocity of each of the two masses. For the system y' = Ay, the matrix A is given by:
Problem #8:
0
0
0
1
0
0
0
1
-50
8
-6 0
8 -50 0 -6
Because the system oscillates, there will be complex eigenvalues. Find the eigenvalue associated with the
following eigenvector.
-8i
8i
56 + 24i
-56 - 24i
Just Save
Problem #8
Your Answer:
Your Mark:
if your answer is a + bi, then enter a,b in the answer box
Submit Problem #8 for Grading
Attempt #1 Attempt #2 Attempt #3
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