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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
11Kinematics
© 2010 Taylor & Francis Group, LLC
In terms of
rt xteyte zte() ()
ˆ
()
ˆ
()
ˆ
=++
123
, the acceleration
a
is given by
a
r
t
x
t
e
y
t
e
z
t
e==
++
d
d
d
d
d
d
d
d
2
2
2
2
1
2
2
2
2
2
3
ˆˆˆ
,
and its magnitude is
aa aa xt yt zt== ⋅=
++

(/)(/)(/)dd dd dd
222222
22
2
.
Whenever the words “velocity” and “acceleration” are used hereafter, they shall be taken to mean
the instantaneous values unless otherwise specied.
It should be noted that
dd
rt
/
is not at all the same thing as the derivative dr/dt of the magni-
tude of r with respect to t. Consider, for example, a particle moving with constant speed in a circle
the center of which is at the origin. As r is constant, dr/dt is ...
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Publisher Resources

ISBN: 9781466569980