ty
π
a
static sensitivity
T
63 %
' Lamis- t
{
It
=
:
yet)
:
/xck
=
output is ycH
:
,
IdealOutput /
4
=
=
=
2+ V
=
12 Vn)(km/s) ( + 0 01s)
-
=
.
2(-0 01) v
.
a)
m=0
5 kg , 1 4 Nsim
K 8 Nim Y10
,
=
.
outpuf
る{ I
=
-
o
.
Mij
)
01
xy + ky
+
Sensitivity
.
=
=
y( 0 Find
1
MX
=
=
_= 05k8
0 0625 s e
.
=
.
Time (S)
Natural Freeency We =
Amplitude
Yo =
=
CXo
:
=
.
XCH
,
=
-
Damping Ratio
Xo Cosuf
=
fan" (1rad's (0 01s))
=
.
RVn
Amplitude is
0
-
.
5729
*
6)
9 99SSe
=
=
and
-0 570
0
so
1 radls
tan" (Wy)
0
:
.
XH
4 (O}
10 0 V
=
P hase Angle
:
0
Amplitude
:
Yo
So
U
If
=
=
-
.
woo
fan" (10rnd's (0 01s))
.
=
-
4Ns/m
=
=
2 concosig
#10 give closed
、^
=
夏
I
so θ ) = Kto Ktoew
**
4
-
10 0625s4(10m/sz)e
-
.
.
. 625e0 625 0
=
↑
form expression of yet
,
ard
(4)
Grade
=
"*
(
it awnty
(1 + 4f)
(1 yf)
+
-
.
5 71050
.
9 9503
=
.
2
1 + (Iorad/s)"10 01s)
2)
.
Amplitude is
gets
I way
,
-
RVn)(5n)
=
and
-5 710
=
2
J
=
im
=
10 062554(10m/s)
=
Y
So
tan" (Wy)
=Xo
Y (0} 0
=
y(
:
3
10mb2
=
.
Do = 5am, W = 10 rads
(17
E
=
1
Ye
,
critically damped
is
.
large
very
Because
9 95V
so
,
output Amplitude approaches
zero
0 625M
.
1) Y = 0.005s,
θ
i)
ราย
So
0
ii )
θ
-
when
Reducing
=
-
tan ' ( Irad' s [ _ 005s3
=
)
=
=
Wo
힙
o
0
9 99987 V
.
0 0055 :
We
.
、 dan “±ornd 'z ( 0005 )》
s
=
1 + (Iradisk (0 005s12
=
/Oradls 3
=
,
%
=
0
9
.
-
3 . 86 は
d) X(f) 5cos2t Ms2 + 2 0
o
is
Y CH
.
9 99V
と
is
desirable
=
are
Gradts
Xo
,
5 ulsh
=
eto
D
closer to the idea value of y
smallerina compared to
=
(2Vkm)(5cm)
respective results from
b)
=
10
So
Where
:
(0 0625s4)(5NS2)
.
=
1 - ω㎡ wn ) る 予wlwa } “
0
is :
Yocos(Wt +0)
←
」
[
2
~
far
Y(H
- 予 ω^ w '
n ω^ own )
=
= Kr
、
0 25 cos
.
”
(
①
ー 2 92 ← ( 21 l ) alar =
√
z
replies faster and more accurately
2)
=
Steady State Expression
0 005s :
is
W
㎡
9875V
.
sensor
#
=
マ
.
Results for Amplitude from
and the phase angle
=~ . 2 ℃ 6
.
the time constant
the
⇌
7,
10 0V
=
. 860
2
means
=
,
Yo
i
.
tradts 3
=
]
0
(2V/m)(5cm)
(xo
Itways
0
because it
290
.
fan " [ w ;
:
So
d)
0
=
-
-
Yo
Wo
-
(lradis)2 (0 005s)2
1 +
when
-
=
hmblscul
:
Eto
I + way
%for
"
'
Yo =
ด Yo an d
เ
Ton ( ws )
-
Yx(f)
.
㉛
0 5
P hase Angle
=
2 32 s
Os s
Actua
w=
y(t)
+
=
delay is equal to
Tima
Y
12 Vlen) (Item)
=
/Alt-5)
=
4 (& 7
-
52@
==4
/Xo =
와
=
.
=
But with camp input actual
6) (i) Xo 5cm ,
2
A I cmls
:
Idea output with O deay is
혹
is
Governing ODE is
,
.
5 ya
=
6)
1
=
Steady state output value Yes 4
of
: 0 63 ( 4 )
al
yes
So
=
←θ); to
θに
At steady state ,
ฟั
ส่
ค่
水
μ
)
tss
{ 19209
2~
/27
e
-
zv 9 z
53 13
.
)
=
%
-
53 . 70
. 25
=
,
K
,
W
.
and
3