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rce which has an amplitude F, = 20 N and itial conditions are xo = 4 cm, and x, = 0. of the mass after time

rce which has an amplitude F, = 20 N and itial conditions are xo = 4 cm, and x, = 0. of the mass after time

Elements Of Electromagnetics
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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answer question 2 and 3

Q.1 A damped single degree of freedom mass-spring system has a mass m = 3 kg, a spring stiffness k = 2700 N/m, and a damping coefficient c = 18 N•s/m. The mass is subjected to a harmonic force which has an amplitude F, = 20 N and a frequency w; = 15 rad/s. The initial conditions are x, = 4 cm, and x, = 0. Determine the displacement t = 0.5 s. of the mass after time Q.2 Repeat Problem 1 for zero initial conditions, that is, x, = 0 and xo = 0. Q.3 Repeat Problem 1 for the following two cases of the damping coefficient c: (а) с — = 180 N s/m; (b) c = 360 N·s/m.
Transcribed Image Text:Q.1 A damped single degree of freedom mass-spring system has a mass m = 3 kg, a spring stiffness k = 2700 N/m, and a damping coefficient c = 18 N•s/m. The mass is subjected to a harmonic force which has an amplitude F, = 20 N and a frequency w; = 15 rad/s. The initial conditions are x, = 4 cm, and x, = 0. Determine the displacement t = 0.5 s. of the mass after time Q.2 Repeat Problem 1 for zero initial conditions, that is, x, = 0 and xo = 0. Q.3 Repeat Problem 1 for the following two cases of the damping coefficient c: (а) с — = 180 N s/m; (b) c = 360 N·s/m.
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