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Three point masses, each of mass m, are ...

Three point masses, each of mass `m`, are placed at the corners of an equilateral triangle of side `L`. The moment of inertia of this system about an axis along one side of the triangle is

A

`3mb^(2)`

B

`2mb^(2)`

C

`((4)/(3))mb^(2)`

D

`((3)/(4))mb^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
M.I. of the system about the axis BC
`=m(AD^(2))=m(3)/(4)b^(2)=(3)/(4)mb^(2)`
`AD^(2)=b^(2)-(b^(2))/(4)=(3)/(4)b^(2)`
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