Find the total response of a single degree of freedom system with m= 10kg, c = 20Ns/m, k = 4000N/m, xo = 0.01m, and * = 0 under the following conditions: a) An external force F(t) = Fo= 100N and w= 10rad/s. b) Free vibration with F(t) = 0. Are the total response in the two cases the same? Include your comments.
Find the total response of a single degree of freedom system with m= 10kg, c = 20Ns/m, k = 4000N/m, xo = 0.01m, and * = 0 under the following conditions: a) An external force F(t) = Fo= 100N and w= 10rad/s. b) Free vibration with F(t) = 0. Are the total response in the two cases the same? Include your comments.
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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Find the total response of a single degree of freedom system with m=10kg, c=20Ns/m, k=4000N/m, x0=0.01m, and x˙0=0 under the following conditions:
a) An external force F(t)=F0=100N and ω=10rad/s.
b) Free vibration with F(t)=0.
Are the total response in the two cases the same? Include your comments.
Transcribed Image Text:Find the total response of a single degree of freedom system with m = 10kg, c = 20Ns/m, k = 4000N/m, xo = 0.01m, and
* = 0 under the following conditions:
a) An external force F(t) = Fo=100N and w = 10rad/s.
b) Free vibration with F(t) = 0.
Are the total response in the two cases the same? Include your comments.
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VIEWStep 2: To find homogeneous solution for part a:
VIEWStep 3: To find particular solution for part a:
VIEWStep 4: To apply the initial condition to find the constant values:
VIEWStep 5: To find the total solution for part a:
VIEWStep 6: To find the total solution for part b:
VIEWStep 7: To apply the initial condition to find the constant values:
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