k tag weft t.me#mtimetgordon/f20t/lecture6mm.pdf · lecture 6 09/11/20 m f¥t8f¥tkx=o m-mass...

Lecture 6-

09/11/20

m f¥t8f¥tkX=o-

M - mass,K - sparing const

f - tag weft.

X - displacement t -t.me#MTimeTLength L .

Dimension function :I . ]

Em] = In.,Et]= 'T

,[ If=L

[It] =LT ' '

[III.] = LT-2

[MEET REEFEDans "ef¥'S ers

"

:# estate IT -R = er) LT = Eid . L-

-

E 8] = It-T- l

,Ek] -- IIT

- 2

III. + Im # + Em # - o

Z = cotinnon - dimensional

[ w] = T- I

fzf End )= co tore

III. Haifa:c . )x = 4×0 Exo] =Lnon - Tim dis pl .

WZ tf. t w Em IIe + Em x = O= I

II. + FEW IE t 'E;Tk] = MT

-

Y IMI M,

⑥2) = T-2

[⇒ -

-ii -- sTnon - timeu s i v n al

Choose co = Rmf

IT = I =

= 8non -

timers

F)HT ' ',[ K] - MT

-R

IM] = M.

KEI "m=L

sina.E.tx.LTa -_ 8- non - dim .

MKM dung weft .

2=tEmt non - dim

time

x non tim displaced .•

fat ) -- C )

y=oE

ok = y

yo = Ii =.

- ay - x-

it: 'all ;)a> O hou - Jim

dna g caff.

IA -- [ ? , -

'

a ]a IA -- [I f) Center .IAEA - III ) = Rtl -- o

da ,z= Ii pure imamroots

To

set [ I, -

'

a -a]= Nita) -11 = 0

It at -11=014,2 = - at Ig2-

di ,z= - at ME- -

face) .=d4ao a-- o

9-72 fanshim ¥41

nose.

-no"

I

f- fan) = o

JX zX+a=0= - 42fact) -- ay- Etta -af