AIIMS2007PhysicsRotational Motion
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( M L^2 6 )
- B( 4 3 M L^2 )
- C( M L^2 3 )
- D( 2 3 M L^2 )
Correct answer
A. ( M L^2 6 )
Step-by-step solution
Since the width is 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 )