C.2.§
Equations of Motion
The Lagrangian form of the differenti-! equation of motiua which defines the relation be
tween the pertinent energy quantities is
5 [=| - B+ PE) «Je
I¥m
8Ym
Um
"Ym
Performing the dentgnated differentiations with respect to each coordinate ylel¢s the iollowing set of equations.
ia Attain LuhCinchSLabnAmedicslethal 5ablesce ce nasreNan 2ddaAms
sep
Aree
eeriey +e
For the front face:
248i
S8El,
THe, hy.
sevue, * El - See Yaa, - ERY
(c.13)
Sp Yay = eM Ba - eh Yeo, ~ mi yy Dea5,
248m he
(c.14)
eee eo,
mh
= Wh rit) lt)
35
(C.15)
334
.
38421
Ed
by ~ ———
sn}
¥ 45,
hi
~ mg.
SEA?
gy = UT
2
St
2
Ss
For the rear face:
248mgigh
315
80m
« walt) hy ~ eet:
Baath
(c.16
-16)
RE ee?toy Sg Ht
24ims oh
SEL
Neng ig
Tig oit :
a Hy a7” R (t) hg2 - ———?
——
us
on Yao +—aty
2
4s . “sa
2
y3
(c.17)
248g. ty
.
Sa4El,
Bang.
Morty.
8 Veoy = Wrlt) hy — “a Yoo ‘ae s+ al Xs
>
{.18)
For floor levels, first floor:
i ("e«+ Maat, ath “Seats ma) = 51 pity hy = eR (9 By]
tg
ate, Sex)
+ ; [wry (td hy ~ wrt) by} + kelyy ~ ya) - Kays + 52 ("s
8maby
(7%;Fay
rhy4
a) (Smg.h »
SE" Frou)
(C.49)
Titshy -
-( «ORs
jun)
Second floor:
$e Ge + Teale + Stats + esate + un) = pw ett hy - wp (t) hy}
oH Lereich ta ort) Be] + Ralvy = a) — Babe = 9
+ Pex)
med |
SEE)
+9 Svs
Erttg te
(=
Fao,
Mahe +| Semis) - (8m,hy
My (TT
Math.
RT)
Gemsath
\
ag Ten 7 ag Fsony
|
iC 20)
“ee
- 3 Vax s)
139
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