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Manipal Entrance Test 2014 Physics Paper
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© examsnet.com
Question : 12
Total: 60
Four thin rods of same mass M and same length I, form a square as shown in figure Moment of inertia of this system about an axis through centre O and perpendicular to plane is
4
3
M
l
2
M
l
2
3
M
l
2
6
2
3
M
l
2
Validate
Solution:
Moment of inertia of rod
A
B
about point
P
=
1
12
M
l
2
MI of rod AB about point
O
=
M
l
2
12
+
M
(
1
2
)
2
=
1
3
M
l
2
[
from the theorem of parallel axis]
and the system consists of 4 rods of similar type so by the symmetry
l
system
=
4
3
M
l
2
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