DOC.
1
MECHANICS LECTURE NOTES
109
ÖL
tj-r
=
tAlxp\ +
tA12p'2
+
op
i
dLdp
t
~
A2iP\
+
A22p'2
-------------------
Pi
Pi
SL
=
UL
tP'.
[p.
109]
From
this
ZttPi
=
^iiPi2 +
OPv
Euler's
law
=
2L
Hence E
=
H
-
Y -p'
=
b- L
+
2L
=
+ L.
^
dp';
v
Application
to
Electrodynamics
Two circuits
vanish
d
(8H\
_
dH
8pv
Py
dt
\dp\
n
v
dt
\8n'v
M
dnv
vanish
/•-ft.
P1
P1P2
P2
H
=
i(Ll5ti2
+
2Mn'1n2
+
L2n'22)[70]
We
assume
that the
L
M
are independent
of the
p'