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EAMCET Engineering 2003 Solved Paper
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© examsnet.com
Question : 39
Total: 160
A circular disc of radius
R
and thickness
R
6
has moment of inertia
I
about an axis passing through its centre and perpendicular to its plane. It is melted and recasted into a solid sphere. The moment of inertia of the sphere about its diameter as axis of rotation is :
I
2
I
3
I
5
I
10
Validate
Solution:
Moment of inertia of a disc,
I
=
1
2
M
R
2
Disc is melted and recasted into a solid sphere.
∴
Volume of sphere
=
Volume of disc
4
3
π
R
1
3
=
π
R
2
×
R
6
⇒
4
3
R
1
3
=
R
3
6
R
1
3
=
R
3
8
⇒
R
1
=
R
2
∴
Moment of inertia of sphere,
I
′
=
2
5
M
R
1
2
=
2
5
M
(
R
2
)
2
=
2
5
M
R
2
4
=
1
5
(
1
2
M
R
2
)
=
I
5
© examsnet.com
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