Q1: (Section A) Considering single degree undamped vibration system and Newton's equation as follow: më +kx=0; find the solution of the displacement equation [(t)=Ciet"nt+C2e-twnt] for the case with: Wn = 2 rad/s, x (0) = 1 mm, and x(0) = V5 mm/s. (Section B) Given the matrix equation of motion of a two degree-of-freedom system 2k -k ||x, = 0 X2 3m as: m - k 4k Determine (a) the natural frequencies (h) the modes shanes

Elements Of Electromagnetics
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Q1: (Section A) Considering single degree undamped vibration system and
Newton's equation as follow: më +kx=0; find the solution of the displacement
equation [(t)=Cietwnt+C2e-lwn] for the case with:
Wn = 2 rad/s, x (0) = 1 mm, and x(0) = v5 mm/s.
(Section B) Given the matrix equation of motion of a two degree-of-freedom system
3m
2k
- k
= 0
X2
+
as:
-k 4k
m
Determine (a) the natural frequencies, (b) the modes shapes.
Transcribed Image Text:Q1: (Section A) Considering single degree undamped vibration system and Newton's equation as follow: më +kx=0; find the solution of the displacement equation [(t)=Cietwnt+C2e-lwn] for the case with: Wn = 2 rad/s, x (0) = 1 mm, and x(0) = v5 mm/s. (Section B) Given the matrix equation of motion of a two degree-of-freedom system 3m 2k - k = 0 X2 + as: -k 4k m Determine (a) the natural frequencies, (b) the modes shapes.
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