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In the diagram shown below all three rod...

In the diagram shown below all three rods are of equal length L and equal mass M. The system is rotated such that rod B is the axis. What is the moment of inertia of the system ?

A

`(ML^(2))/(6)`

B

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

C

`(ML^(2))/(3)`

D

`(2)/(3)ML^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Since the width negligible, the moment of inertia of B is zero along its length.
`I_(A)+I_(C )=(mL^(2))/(12)+(mL^(2))/(12)=(mL^(2))/(6)`
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