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A uniform thin rod is bent in the form o...

A uniform thin rod is bent in the form of closed loop `ABCDEFA` as shown in the figure. The ratio of moment of inertia of the loop about `x`-axis to that about `y`-axis is

A

Greater than `1`

B

Less than `1`

C

Equal to `1`

D

Equal to `0.5`

Text Solution

Verified by Experts

The correct Answer is:
B
Moment of inertia of semicircular poritons about X and Y axes same.
`I_(X)=I_(Y)=mR^(2)`
Then MI of straight portion about X-axis is zero
`therefore I_(x)ltI_(y)`
(or) `(I_(x))/(I_(Y))lt1`
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