Problem 3) The Equations of Motion for a system are given as:[2k -k][X1+-k 3k.[m1Where m, =m, m2 =2ma) Determine the frequencies and mode shapes.b) Verify that the natural modes are orthogonal.c) Determine\x2(t)Sd) If an excitation force F1(t) = Fo Cosot acted upon the mass m1, Determine the system response.

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Answered: Motion for a system are given as: M1…

Engineering

Mechanical Engineering

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

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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.

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