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 ?

Options

A. `(ML^(2))/(6)`
B. `(4)/(3)ML^(2)`
C. `(ML^(2))/(3)`
D. `(2)/(3)ML^(2)`

Answer

A

Explanation

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)`