3.35 For the system shown in Fig. 3.49, x and y denote, respectively, the absolute displace- ments 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, and (c) find the force transmitted to the support at P, when the end Q is subjected to the harmonic motion y(t) = Y cos cot.
3.35 For the system shown in Fig. 3.49, x and y denote, respectively, the absolute displace- ments 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, and (c) find the force transmitted to the support at P, when the end Q is subjected to the harmonic motion y(t) = Y cos cot.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:00000
x(1)
41
y(t) = Y cos aut
FIGURE 3.49 Damper subjected to harmonic motion.
Transcribed Image Text:3.35 For the system shown in Fig. 3.49, x and y denote, respectively, the absolute displace-
ments 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, and (c) find the
force transmitted to the support at P, when the end Q is subjected to the harmonic motion
y(t) = Y cos cot.
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Given the harmonic motion relationship
Required: Equation of motion, steady state displacement and force transmitted.
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