-3
Cm)
|-m'
-) 2x) C-)
cirequnay the
;iei,z (wtt) Cos 9;(0:
x:
harmoni
Soc asSunm
in By
by
qiven are moton The
(9
m)m
K2=K
Mm
lalues)
1artA
mod-I1
2m
[ukmt6k'm²- 12 i<'m7 3IK
22m m
X,ã) - mo+ (Ktk)
2).
muat 2K
-Fistno de
X
Cos (wt to
m)
m
Ke
m
m
K2=5
or snihal Con m(o) =),
))e = c)=% (©/
dor Jree balion .J=¬) =d then the
eqo)mton
ohre
.neYe diY are lonst enots mar a mplitude
Sib "C3)2(u)*
- rm,+O2+ k)
+ CKetl6s)
.2
mm2
2, )
mym
K+K) KtK3 -K
m m
Substhut the given Values
Cos
ibration re The
then <2) xs- 5 ie bo ' w
2D 25 t: w
SubsAituhiogn 1he
[-low3s
daa given For
x , ), 9rc Corat
x,)
(4 ):)
2xfos, -51
'sin,-2-uu95
3-)6227,4 122u95
inda
(by Solving
Si nh2=
henle
)
Gus ree ibrat'on Yoponse o milm
) 54 Cos l-581t t 2 las 2-uast
) J
M()= 104 Cos -58u t- A Cos2uu9s!
3
Toind o,
J2
92
The dilrertisl motio n
vanagig 0,C): e; Cos (ot+Ø)
Subs th harmonic Soln
then e
2 wt1
JD- 5
Jo Kitis,= D
Bo ol nghural jeg
KA (s+ a)
Jo
Qmptude rdo
-2
()
2-(5+)
values in wlwh iue
stuted ron the Same Componen
K
J.
Kg =2.
m, =12
tor qiven data
-mw+K,tK2
- K
-qwzt50
-12w12
(-qws0)C-22)
1O9-(080600w+600- 00:
103 w500=0
w 2 39
Now Bubeitute w: in canei) no
|-9(54) +50
-12(6-30ti2
34
5652
:34 I- 072 -0
when
2
u2-76
2-352
U"276K}
No the nornal modeu
(2)
The Aree vibrotor respon(e o
Mi Ct): - o-319
Cos(2:34t+ ¢) +«o8924+)
where y, ( I xos(2:39t+)+u24XCos (o-897t
are Con Stant Now
(ondihony uaing givenininital
2 Ct = 05- -0. 319x
13(*:0):o5.
D-5- b162 xsin d. -35003 'sint, -u
cen
Solvinq
3'u'By 4rom
P2
=
,Ct) xsind:
-o274
tan-'/-DB
{-315 tan! Coso,
l·286 =
|"31s
b2132
-
Lan'/-
*3in6)
0-279
xPCosa)
Cos
(2:34t
4-2s -
-12-24 I
280
|2-24)
sinß,--0
187
+
0-28 |"286
Cos(o-84t
29,000Nm
uo, ooo
20 K
O 20o ON.S/t0
dlmertial governing e n
20M t 2000, - 200oM+ 6, o00,- 20, 0002=)
FBD
K(a-*1)
c(x-i)
uo M1 - 2006, 2000C, - 20, o00M+ 20, 0O0 M) FO)
akng laplace hangfermalioo
(30s4 20DD S+6o, oo )*,(6) -(2, o00S 420, oo949
-(2000s+ 20, Doo) x()
+uost20D0S +20, o00) v5)- Ft
Nbuo in malris orm
- 200O t 20,O0D
- 2000S - 20,000 uost+ 200os+ 20000|a
wsing (rames rule
|20S+ 20003 + 60 000
-20068+ 20,000 F)
Tolal m4liy
20s+ 20008 +60, 000) F
()
8oos i-2x lo s
rvanser un(uoil be
20s.+ 2000S + 60,DO )
oo st4 2KibSs4
281os+ 8x1os48x
