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.
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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.
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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