AIIMS2006PhysicsRotational Motion
The moment of inertia of a rod about an axis through its centre and perpendicular to it is 1 12 M L^2 (where M is the mass and L , the length of the rod). The rod is bent in the middle so that the two halves make an angle of 60^ . The moment of inertia of the bent rod about the same axis would be
Options
- A1 48 M L^2
- B1 12 M L^2
- C1 24 M L^2
- DM L^2 8 3 .
Correct answer
B. 1 12 M L^2
Step-by-step solution
Moment of inertia of uniform rod about one end = M L^2 3 . Moment of inertia of a rod about an axis passing through O and perpendicular to the plane of the rod will be =2 ( M 2 ) (L / 2)^2 3 = M L^2 4 3 = M L^2 12