Motion for a system are given as: M1 [2k -k] m2
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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![Problem 3) The Equations of Motion for a system are given as:
[2k -k][X1
+
-k 3k.
[m1
Where m, =m, m2 =2m
a) Determine the frequencies and mode shapes.
b) Verify that the natural modes are orthogonal.
c) Determine
\x2(t)S
d) If an excitation force F1(t) = Fo Cosot acted upon the mass m1, Determine the system response.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcc6996da-8e13-4513-b060-5bde86a31266%2Fbafbac6f-3ea2-47b9-9e42-fae4a20873f1%2Fy3grh5_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 3) The Equations of Motion for a system are given as:
[2k -k][X1
+
-k 3k.
[m1
Where m, =m, m2 =2m
a) Determine the frequencies and mode shapes.
b) Verify that the natural modes are orthogonal.
c) Determine
\x2(t)S
d) If an excitation force F1(t) = Fo Cosot acted upon the mass m1, Determine the system response.
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