Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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I need help with C and D. I want to see detailed steps. 

2. The following initial value problem describes oscillatory motion in a viscous
medium:
dy
dy
+ 26-
+ w?y = 0; y(0) = 0, y/(0) = vo
(2)
dt2
dt
where b, w, and vo are real, positive, constants.
a) If the dimensions of y and t are length (L) and time (T), respectively, what are
the dimensions of w, b, and vo? Express your answer in terms of products LªT°,
where a and b are rational numbers.
b) Show that y(t)
the values of A and B?
A cos(wt) + B sin(wt) is a solution to (2) when b = 0. What are
c) Starting with y(t)
solution to (2). You must show all the steps leading to the solution.
eat (where A is, in general, a complex number), find the
d) What are the values of w and b, if the period of oscillation in the viscous medium
is 5 s and in the absence of the viscous medium (b = 0) is 3s?
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Transcribed Image Text:2. The following initial value problem describes oscillatory motion in a viscous medium: dy dy + 26- + w?y = 0; y(0) = 0, y/(0) = vo (2) dt2 dt where b, w, and vo are real, positive, constants. a) If the dimensions of y and t are length (L) and time (T), respectively, what are the dimensions of w, b, and vo? Express your answer in terms of products LªT°, where a and b are rational numbers. b) Show that y(t) the values of A and B? A cos(wt) + B sin(wt) is a solution to (2) when b = 0. What are c) Starting with y(t) solution to (2). You must show all the steps leading to the solution. eat (where A is, in general, a complex number), find the d) What are the values of w and b, if the period of oscillation in the viscous medium is 5 s and in the absence of the viscous medium (b = 0) is 3s?
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