;. v- Reh+ion br.{ws.. " !,{ave por{icle, vcloci'ty ond kiale velocily i Ne knor.r.l , -The displqccmont . : t usin* \le(e, v is *he w..vQ- Thp- pon.liele rrelocily. gi. dv 0+-4 - 0 vo.locily. dt A I e* t ,1 ff 1o <'n ;- t"t-"rJ t- o^ o co5 ;- et - x-) . ;!'v Nor^r, rne 2rro-v A vnonimu.vn va\utQ- 2x av A a-^ : -:jl].- X L0OVq A , cos f ("t-E of pa,tficle velocity velocity 0t5In 2r -x- ("t -r")1 - ..) e.-E (# -) 2n\ coe -;- (vt -9 Ima"rc N oul, dy d:r- dr a;t Oco5 + - 2nq http://nissongo.blogspot.com
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; .
v-Reh+ion br.{ws..
" !,{ave
por{icle, vcloci'ty ond kiale velocily i
Ne knor.r.l ,
-The displqccmont .
: t usin*
\le(e, v is *he w..vQ-
Thp- pon.l iele rreloci ly.
gi. dv
0+-4 - 0vo. loci ly.
dt
A I e* t ,1ff 1o <'n ;- t"t-"rJ
t - o^o co5 ;- et - x-) . ; ! 'v
Nor^r,rne
2rro-vA
vnonimu.vn va\utQ-
2x avA
a-^: -:jl].- X L0OVq
A
, cos f (" t -E
of pa,tficle velocity
velocity
0t5In2r-x- ("t -r")1
- . . )
e.-E (# -)2n\
coe -;- (vt -9
Ima"rc
N oul,dyd:r-
dra;tOco5 +
- 2nq
http://nissongo.blogspot.com
-v:3Ld1-
+ ' . : -v _E_dr-
df Ener.ql o[ o. Pr6 BE!,5Live-
We- kno6,
' .dv-dt
UJarJE :
)(x,t) = y,n6in(kx-uJt)
Porc{ic\e
P".nficl e ,oP
vc\oci[y , ut
o.cct\ grcq+i on
L.:y'',, cor (xx - ^9
- u!1.t ln(xx-ot)
' ^ - /
volurnc- = L. pt'
Lop 1{"{co*(xx--)
r- p . \,{l-. v--' coJ (vx - u' t)
2 2 1;*l"cos- (kx - art)
-f- = -^Vol ,
'PL= -p;t
il [.la- consi&ru on\/
rno.Xnt*^dc -
F = p"fvvol .
No,,r,,
kinetic
Wonk
dY i :
srelCEY perc unri
. k '8.---'---:-
dore perL unil \ olurn e $o c. smc\\ diePlocerunt
# = {t='ov
# = J. d. t t= Jl /-- i 'd/
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7^-J1r dv
/*" L+J'"Pult- -,2*
L ,o e"+\\*t V . \dt \-
e7n"l\v
I,,J
Vol
Vol .
Esl---grelur-\ol .
/ \ {x-rdt){ -v - siri". 2dP
PF
,L PCvol .
o:v^ !\, '\,'
KEVol '
[sn^oa)
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a
* N,{{nr.nn\lo\ Eq',rotion o{ Stotion o.cy !,jova. i
-the tdso\ eguohon,
y . 2aco: ! .;," {
+ # : 2o,co3 + $ sin &jY! -Fo
: 2o.co: ) euu +L T
= 4^ou n^. 2r:( nn. 2T 'lL
.1 A4
Av.
" F - -+*
oo. {L oi" \L. n;u oo
- - 2o, $f .un 2!x sin TL -
O*,t 2:,vtY -- zoCos :i: 5 | n -;-
' d" zrr l t , : - 2rr . 2 ' r ,. tt- = _ 2o.srn =i "'r