PROBLEM3:For the system shown in Figure 1, x and y denote, respectively, the absolute displacements of the mass mand 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 motiony(t)= = Y cos wt.C₂00000m-x(1)C₁HEFigure 1- SDOF systemy(t) = Y cos wtQ

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Answered: PROBLEM3: For the system shown in…

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

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

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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