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Three rings each of mass m and radius r ...

Three rings each of mass m and radius r are so placed that they touch each other. The radius of gyration of the system about the axis as shown in the figure is

A

`sqrt(6/5)r`

B

`sqrt(5/6)r`

C

`sqrt(6/7)r`

D

`sqrt(7/6)` r

Text Solution

Verified by Experts

The correct Answer is:
D
`I=1/2mr^(2) + 2(1/2 mr^(2) + mr^(2)) = 7/2mr^(2) = (3m)K^(2)`, where K = radius of gyration.
`K=sqrt(7/6) r`
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