A slider-crank mechanism is used to impart motion to the base of a spring-mass-damper system, as shown in Figure (P3.1). Approximating the base motion y(t) as a series of harmonic functions, drive the equation of motion and find the response (natural frequency, damping ratio) of the mass for m = 1 kg, c = 10 N-s/m, k = 100 N/m, r = 10 cm, 1= 1 m, and w = 100 rad/s. (t) « x(t) k/2 0 = wt www m www k/2 Fig. P3.1
A slider-crank mechanism is used to impart motion to the base of a spring-mass-damper system, as shown in Figure (P3.1). Approximating the base motion y(t) as a series of harmonic functions, drive the equation of motion and find the response (natural frequency, damping ratio) of the mass for m = 1 kg, c = 10 N-s/m, k = 100 N/m, r = 10 cm, 1= 1 m, and w = 100 rad/s. (t) « x(t) k/2 0 = wt www m www k/2 Fig. P3.1
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:A slider-crank mechanism is used to impart motion to the base of a
spring-mass-damper system, as shown in Figure (P3.1). Approximating
the base motion y(t) as a series of harmonic functions, drive the
equation of motion and find the response (natural frequency, damping
ratio) of the mass for m = 1 kg, c = 10 N-s/m, k = 100 N/m, r = 10 cm,
1 = 1 m, and o = 100 rad/s.
x(t)
k/2
WWW
0 = ot
m
www
k/2
Fig. P3.1
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