CLASSI
C
AL
MECHANICS
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Content
on
①
Newtonian
-
-
-
-
-
Mechanics
Introductory
Newton 's
Fali
lean
Galilean
.
remark
law
.
.
Relativity
.
transformation
Conservation
laws
.
MECHANICS
CLASSICAL
.
-
Non rel
classical mech
.
( RXRB )
l
T
Newtonian
Non-Newtonian
.
.
I
="
Lagrangian
approach
.
Hamiltonian
approach
.
?
Newtonian
mm
①
⑦
.
mm
Introductory
law
Newton 's
①
①
Approach
Galilean
Introductory
Q
:
How
To
answer
set
of
to
Things
man
,
laws
.
.
remark
-
does
.
.
Relativity
Conservation
a
-
remark
Nature
.
-
work ?
need to
we
measurements
measure
charge
,
:
perform organised
→
Length
Experiment
,
temperature
.
(frequency)
time
,
etc
.
Difficult
approach
if
only
we
.
Keane
:
①
ly
Given
:
Need
Here
comes
-
-
-
-
way
idea
the
model
-
Wisdom
we
.
.
.
of constructing
a
characteristic
from
scale
enperi ment
objects
Idealization of
Extrapolation
New
out
,
.
choose
imagination
.
.
system outcome
change
drastically
characteristic scale
theoretical
-
.
as
alternative
.
many enperimewb
single
a
varies
the
natural systems
many
Dey
Reasm
follow enperimental
theoretical
model
thatpredicts
enperi
theory
→
the
mental
generically
.
y
out
y
-
classical Mechanics
a
Postulates
.
of
throng
.
Mechanics
Newtonian
is
.
f
-
1st
law
:
Defines
the
-
inertial frame
.
-
H
.
such frame
point
particle , left alone stays
in
,
,
at
an
rest
or
mores
uniform
speed
( Not true for
frame → Non
with
.
rotating
-
frame)
inertial
.
*
1st law rules out
the
special frame which
existence of
.
is
a
at absolute rest
.
2nmdlnaw.sn
In
-
.
frame
inertial reference
,
rate
Of
an
of
change
.
→
acting
momentum
of pointparticle
a
Physical force
on
.
Ihi
point particle
-y
.
TT
DI
JE
physical
=
force
.
-
inertial
force
.
Khan:
for
Generalizations
system of paint particles
Eij
of
:
=
-
Ej ;
i→
j
→
Newton 's law
it
.
-
particle
jth particle
.
.
Galilean
Relativity
rn -
*
A
.
-
reference frame which is
with uniform
speed
moving
inertial
frame
No
→
.
Newton 's
frame
*
laws
same
are
-
r
.
t
.
also
or
some
an
.
all inertial
in
.
Space
and
other
each
.
donut
time
mix
with
absolute
is
Simultaneity
.
Galilean transformation
2 -
S
(
n
,
t
#
)
'
n →
don't
.
n
-
=
f
Cn ,
t
fInda÷
.
)
s
'
ca
,
t
'
)
At
.
+
'
II.
.
preferred frame
exists
*
W
is
reference frame
inertial
at rest
=
'
re
-
Otl
fav It
'
+
'
.
.
frame
inertial
In
Newton 's
if
re
:
Most
=
1st law
const
8gfq=
.
v
general
IRB
→
an t
IRS
re
③
IRB → RB
1129
→
t
C
t
→
F
:
IRS
→
=
const
,
=
j
IR
=
I
+
=D
.
E
→
F
E + It
'
=
.
.
→
t
'
=
t + to
4
.
Galilean relativity
+
①
→
No
.
U
-_
.
to
11
OT OTO
O
we
I '
.
:
Of
'
F' → F'
.
IR
.
at
version
.
.
.
④ itimetranslation.it
:
I
-
'
3boostm.ir
i
const
=
,
3d
a
② Stuns
:
'
transformation
srotations.ir
i.
+
const
Considering
①
Galilean Relativity
.
.
f
,
f-
t
t
②
③
④
→
→
→
No
No
=
O
special
set
.
direction
.
special position
special velocity
.
laws of
same
can
al
-
physics
.
are
past, present
,
future
Finite
of Galilean
group
element
mm
-
.
-
-
:
N
÷÷÷÷÷÷÷
:
.
ni
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Vi
t
Rijn;
=
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=
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t
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Generators
③ Lij
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O
O
O
s
t
l
O
l
.
ai
.
.
(
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)
③ Ki ( boost)
(time translation)
( translation) ① H
,
.
get
the
infinitesimal form of
get
the
differential form
.
construct
y
the
algebra
.
of
G. T
.
generator
Conservation
a-
I
.
laws
(for
.
-
-
a
system of point particles
Conservation of to let momentum
.
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It
for @
total
e
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weak
momentum
=
o
version
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then
3rd law
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is
internal
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-
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