PROBLEM3: Consider the system shown in Figure 3, where m = 70 ton and k = d) Derive the equations of motion. e) Find the natural frequencies and mode shapes of the system. f) Find the free-vibration response of the system for the initial conditions: v (0) = {1} cm. v (0) = ܠܠܠܠܠܠܠܝ 00000 k m Sec m 00000 k x1 (1) 5k 0000 m Figure 3 00000 k x₂ (1) 6000 kN/m. m 00000 k x3 (1) ܠܠܠܠܠܠܝ

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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PROBLEM3:
Consider the system shown in Figure 3, where m = 70 ton and k = 6000 kN/m.
d) Derive the equations of motion.
e) Find the natural frequencies and mode shapes of the system.
f) Find the free-vibration response of the system for the initial conditions:
v(0)=
{1} cm
cm, v (0) =
m
Sec
00000 m
k
00000
k
x₁ (1)
Jour
5k
0000
m
Figure 3
00000 m 00000
k
k
x₂(1)
- X3 (1)
ܠܠܠܠܠܠܠܝ
Transcribed Image Text:PROBLEM3: Consider the system shown in Figure 3, where m = 70 ton and k = 6000 kN/m. d) Derive the equations of motion. e) Find the natural frequencies and mode shapes of the system. f) Find the free-vibration response of the system for the initial conditions: v(0)= {1} cm cm, v (0) = m Sec 00000 m k 00000 k x₁ (1) Jour 5k 0000 m Figure 3 00000 m 00000 k k x₂(1) - X3 (1) ܠܠܠܠܠܠܠܝ
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