Momentum and CollisionHard

Question

The moment of inertia of a rod about an axis through its centre and perpendicular to it is ML2 (where M is the mass and L, the length of the rod). The rod is bent in the middle so that the two halls make an angle of 60o. The moment of inertia of the bent rod about the same axis would be:

Options

A.ML2
B.ML2
C.ML2
D.

Solution

         
We know that for a body, moment of inertia M.I = Σ Mr2
Now, bending of rod does not alter the distribution of individual particle, the body is made of, so the value of = Σ Mr2 will not change. Hence the changed moment of inertia of the body will be ML2

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