110
DOC.
1
MECHANICS LECTURE NOTES
[p.
110]
P1
=
1
2
2
5px
SM
8pi
71
j
7^2
nx
=
-
it(MR2)
aM
1
5L
P2
=
^
2
2
dp
-A
(Mir1)
n,
=
-
rr
-
^
(m dH
dt
\dp'J
dpx
nt
=-l-
dH
dt
\dn\J
d7tj
1)
A
circuit
We
apply
this to
a
circuit.
Let
its
configuration
be
determined
by
one
coordinate
p
I_
~1
-4
~4.a
and
one
coordinate
n
=
i.
We
assume
that H
is homogeneous
to
second order
in
n'.
H
=
--L
ti' 2
L
is
here
a
function of
p.
The
above
equations
then
yield
2
P1
=
1
,
dL
-
-
71
2
dp
0
vi-j
1
/)
dL
1
=
+
-t
2
dp
n-_
d(L
«)
_
Uj
_ _
dt
In
agreement
with
the
familiar laws
of
electrodynamics.
2) moving
magnet
& solid
conductor
We
set
H
=
-
W
.t'.
P-
=
it'
p-rf/7 =
i#
=
illdt
dp dp
`I
B
nr