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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
62 Classical Mechanics
© 2010 Taylor & Francis Group, LLC
yx
g
v
x=−tan
cos
α
α2
0
22
2
and
y = x tan θ
where θ is the slope of the inclined plane with respect to the horizontal. Eliminating y, we
obtain
Rx
vg
vg
P
=
=−
()
()sec
sincos ta
ns
ec
.
θ
αα
θθ
0
2
0
22
22
//
The maximum range along the incline, for a given θ, occurs at
(α)
max
= θ/2 + π/4 (3.14)
and the maximum range itself is
Rvg
max
(sin )sec=−
0
21 2
1
θθ
.
Figure 3.3 illustrates the case where a projectile is launched to a higher level; θ and h are
positive. For the case where a projectile is launched to a lower level, θ and h are negative.
Alternatively, we can find the maximum range of a projectile along a ...
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Publisher Resources

ISBN: 9781466569980