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Two identical spherical balls of mass M ...

Two identical spherical balls of mass M and radius R each are stuck on two ends of a rod of length 2R and mass M (see figure). The moment of inertia of the system about the axis passing perpendicularly through the centre of the rod is

A

`(209)/(14)MR^(2)`

B

`(152)/(15)MR^(2)`

C

`(17)/(15)MR^(2)`

D

`(137)/(15)MR^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
`I=2((2)/(5) MR^(2)+MR^(2)4)+(MR^(2))/(3)=(137)/(15)MR^(2)`
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