Cite an example of restricted homogeneous equation contained in a technical article found in an engineering journal in your field of interest. Define all terms in the equation, determine why it is a restricted equation and provide a complete journal citation title, date, etc.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Cite an example of restricted homogeneous equation contained in a technical article found in
an engineering journal in your field of interest. Define all terms in the equation, determine why
it is a restricted equation and provide a complete journal citation title, date, etc.
Example of Restricted Homogenous Equation
d = 4.9t ? (Formula for Free fall Distance)
Where: d= distance = length=L
t= time = T
Find Homogeneity:
L = 4.97?
L + T² (is not homogenous since the variables are not equal) but we can say
9.81
m
4.9 is actually
where g
2
LT-2
or
72
Rewriting Equation:
d = 4.9t2
L = %²
L = LT-2T2
L = L
now it became dimensionally homogenous
It is classified as restricted homogenous equation
Because d = 4.9t? is a formula limited only to S.1. system since g
9.81-
||
Transcribed Image Text:Cite an example of restricted homogeneous equation contained in a technical article found in an engineering journal in your field of interest. Define all terms in the equation, determine why it is a restricted equation and provide a complete journal citation title, date, etc. Example of Restricted Homogenous Equation d = 4.9t ? (Formula for Free fall Distance) Where: d= distance = length=L t= time = T Find Homogeneity: L = 4.97? L + T² (is not homogenous since the variables are not equal) but we can say 9.81 m 4.9 is actually where g 2 LT-2 or 72 Rewriting Equation: d = 4.9t2 L = %² L = LT-2T2 L = L now it became dimensionally homogenous It is classified as restricted homogenous equation Because d = 4.9t? is a formula limited only to S.1. system since g 9.81- ||
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