PROBLEM3: For the system shown in Figure 1, x and y denote, respectively, the absolute displacements of the mass m and the end Q of the dashpot C₁. (a) Derive the equation of motion of the mass m
PROBLEM3: For the system shown in Figure 1, x and y denote, respectively, the absolute displacements of the mass m and the end Q of the dashpot C₁. (a) Derive the equation of motion of the mass m
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![PROBLEM3:
For the system shown in Figure 1, x and y denote, respectively, the absolute displacements of the mass m
and the end Q of the dashpot C₁.
(a) Derive the equation of motion of the mass m
(b) find the steady-state displacement of the mass m
(c) find the force transmitted to the support at P,when the end Q is subjected to the harmonic motion
y(t)= = Y cos wt.
C₂
00000
m
-x(1)
C₁
HE
Figure 1- SDOF system
y(t) = Y cos wt
Q](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe2562613-3978-4ce7-ab4f-991e185da105%2F70a3a643-0a07-49c5-ac38-3c15f8b09c61%2Faqg3cn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:PROBLEM3:
For the system shown in Figure 1, x and y denote, respectively, the absolute displacements of the mass m
and the end Q of the dashpot C₁.
(a) Derive the equation of motion of the mass m
(b) find the steady-state displacement of the mass m
(c) find the force transmitted to the support at P,when the end Q is subjected to the harmonic motion
y(t)= = Y cos wt.
C₂
00000
m
-x(1)
C₁
HE
Figure 1- SDOF system
y(t) = Y cos wt
Q
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