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

data provided normal frequency wn =k/m =2700/3 =30 rad/s M = 3 kg K =2700N/mc =18 N.s/mF0 = 20 N wf…

Answered: rce which has an amplitude F, = 20 N…

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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

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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A: Solution:

Question

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.

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