Skip to Main Content
Classical Mechanics, Second Edition, 2nd Edition
book

Classical Mechanics, Second Edition, 2nd Edition

by Tai L. Chow
May 2013
Intermediate to advanced content levelIntermediate to advanced
639 pages
23h 12m
English
CRC Press
Content preview from Classical Mechanics, Second Edition, 2nd Edition
540 Classical Mechanics
© 2010 Taylor & Francis Group, LLC
so that the length of the loaded string remains constant at D = (n + 1)d. The total mass of the string,
M= nm, also remains constant. Thus, as the number n of particles increases, the mass of an indi-
vidual particle decreases. Now as n becomes very large, we can replace the sine term in Equation
16.11 by the argument
sin
()
()
N
n
N
n
ππ
21
21
+
+
and Equation 16.11 reduces to
ωω
ππ
ρ
π
ρ
ππ
ρ
N
N
n
S
md
N
n
SN
nd
SN
D
N
D
S
=
+
=
+
=
+
== =
2
21
11
0
()
()
NNω
1
(16.17)
where the linear density
ρωπρ==
md
DS
/and
//
1
() . (16.18)
ω
1
can be considered to be the fundamental frequency. The other different normal frequen-
cies can then be reg ...
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Start your free trial

You might also like

Physics for Technology, Second Edition, 2nd Edition

Physics for Technology, Second Edition, 2nd Edition

Daniel H. Nichols
Engineering Mechanics

Engineering Mechanics

Dwarka Prasad Sharma
Engineering Physics

Engineering Physics

S. Mani Naidu
Mechanics

Mechanics

Somnath Datta

Publisher Resources

ISBN: 9781466569980