Question

The moment of inertia of a rod about an axis through its centre and perpendicular to it is (1/12)ML² (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

(a) (1/48)ML²

(b) (1/12)ML²

(c) (1/24)ML²

(d) (1/8√3)ML²

Answer 1

Correct option (b) (1/12)ML²

Explanation :

Moment of inertia of uniform rod about one end = ML²/3

Moment of inertia of a rod about an axis passing through O and perpendicular to the plane of the rod will be