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Q.

Two thin rings, each of mass m and radius R are rigidly attached with each other as shown in figure. Then moment of inertia of the system of rings about the diameter AB is

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a

34mR2

b

2mR2

c

52mR2

d

32mR2

answer is C.

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Detailed Solution

For ring (1), (IAB)1=12mR2For ring (2), (IAB)2=mR2+mR2=2mR2∴(IAB)system=12mR2+2mR2=52mR2
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Two thin rings, each of mass m and radius R are rigidly attached with each other as shown in figure. Then moment of inertia of the system of rings about the diameter AB is