Given: M = 20 kg k = 400 ווו N.s Fo=90 N C = 125 m rad @ = 6 F=F, cos ost M (a) Form the differential equation of the spring mass damper system which is subject to the forcing function F=Fo cos wat, where w₁ = 6 rad/s (10 points) (b) Find an analytical solution of the governing differential equation and plot in MATLAB. (30 points) (c) Find a numerical solution of the differential equation and compare the analytical solution with the numerical solution. (15 points)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Given:
M
= 20 kg
k
= 400
ווו
N.s
Fo=90 N
C = 125
m
rad
@ = 6
F=F, cos ost
M
(a) Form the differential equation of the spring mass damper system which is subject to the
forcing function F=Fo cos wat, where w₁ = 6 rad/s (10 points)
(b) Find an analytical solution of the governing differential equation and plot in MATLAB.
(30 points)
(c) Find a numerical solution of the differential equation and compare the analytical solution
with the numerical solution. (15 points)
Transcribed Image Text:Given: M = 20 kg k = 400 ווו N.s Fo=90 N C = 125 m rad @ = 6 F=F, cos ost M (a) Form the differential equation of the spring mass damper system which is subject to the forcing function F=Fo cos wat, where w₁ = 6 rad/s (10 points) (b) Find an analytical solution of the governing differential equation and plot in MATLAB. (30 points) (c) Find a numerical solution of the differential equation and compare the analytical solution with the numerical solution. (15 points)
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