Jawad Cheayto
Def A linearmotion is a motion with onedegree of Audio 1
freedom
Motion
along
In case of a system having onedegree of GC 9
freedom evolving in a conservative
field with
potential
V91
We have only I Gncoordinate
As
L a g 92
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Specialcase
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CartesianCoordinates x rectilinear motion
g
Motion
mid Ux along
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L
mi day O
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mis du
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mix du
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at
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take t
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Motion is possible
only
when E USO
, Audio4 5
Motion occurs the
in region
where Utx LE
Example Assumethat ULI is givenby
thefollowing curve
U
I I TH E est
A B C D f
H
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g 43 Xy
classically
these
areforbidden regions
IF motion ispossiple in Regions I I 4 HI
The points ABC D and F are solution to the equation VIX E
In region II
the domain of motion is unlimited
and the particle can travel infinity away Audio 6
, Two bodies problem
Audio't
considerthe sun Earth
system
as isolated
E
S Morag
Consider an isolated
system composed of
two masses magma having a force of
interaction
II.gadU
In a certain inertial reference
z
Audios
frame themotion ofthe CM
rectilinear
Cofmstmalis Miri.aqq
uniform motion a
pus R
ma
O pia
System Goof Y
Inoconstraints
K
x