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AIIMS 25 May 2019 Morning Question Paper with solutions for online practice
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© examsnet.com
Question : 14
Total: 166
For the system given below, find the angular frequency of oscillation?
10
√
3
10
√
3
20
√
3
20
√
3
Validate
Solution:
By energy method
1
2
K
x
2
+
1
2
m
v
2
+
1
2
I
ω
2
=
C
1
2
.
K
.2
x
.
d
x
d
t
+
1
2
.
m
.2
v
.
d
v
d
t
+
1
2
I
.
2
v
r
2
d
v
d
t
=
0
K
x
v
+
M
4
v
a
+
M
2
a
.
v
=
0
K
x
v
+
M
4
v
a
+
M
2
a
.
v
=
0
−
K
x
=
3
M
a
4
a
=
−
4
K
3
M
.
x
=
−
ω
2
x
ω
2
=
4
K
3
M
ω
=
√
4
K
3
M
=
√
4
×
100
3
×
1
=
20
√
3
r
a
d
s
e
c
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