PROBLEM3: Assume that the mass and stiffness of the system of Fig3 are: m = 1000 kg, k = 1000 kN/m, and that it is undamped. If the initial displacement is u(0) = 4cm, and the displacement at t = 1.2sec is also 4cm, determine: (a) the displacement at t = 2.4sec (b) the amplitude of free vibration uo
PROBLEM3: Assume that the mass and stiffness of the system of Fig3 are: m = 1000 kg, k = 1000 kN/m, and that it is undamped. If the initial displacement is u(0) = 4cm, and the displacement at t = 1.2sec is also 4cm, determine: (a) the displacement at t = 2.4sec (b) the amplitude of free vibration uo
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![PROBLEM3:
Assume that the mass and stiffness of the system of Fig3 are: m = 1000 kg , k = 1000 kN/m, and that
it is undamped. If the initial displacement is u(0) = 4cm, and the displacement at t = 1.2sec is also 4cm,
determine:
(a) the displacement at t = 2.4sec
(b) the amplitude of free vibration uo
[1
ooooo
k
m
-v(t)
p(t)
fø(1)
fs(1)
fr(1)
- v(t)
p(1)
(a)
(b)
Figure 3-Idealized SDOF system: (a) basic components; (b) forces in equilibrium](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb3b721bb-6c0b-4e30-a0c7-89f032bd7915%2F3f96afdc-7f33-400e-9163-ece64c6b8c2e%2Fginwn1e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:PROBLEM3:
Assume that the mass and stiffness of the system of Fig3 are: m = 1000 kg , k = 1000 kN/m, and that
it is undamped. If the initial displacement is u(0) = 4cm, and the displacement at t = 1.2sec is also 4cm,
determine:
(a) the displacement at t = 2.4sec
(b) the amplitude of free vibration uo
[1
ooooo
k
m
-v(t)
p(t)
fø(1)
fs(1)
fr(1)
- v(t)
p(1)
(a)
(b)
Figure 3-Idealized SDOF system: (a) basic components; (b) forces in equilibrium
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