Q.

Two masses each of mass M are attached to the end of a rigid massless rod of length L. The moment of inertia of the system about an axis passing centre of mass and  perpendicular to its length is

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a

ML24

b

ML22

c

ML2

d

2ML2

answer is B.

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Detailed Solution

The moment of inertia of the system about the given axis isI = M(L2)2+M(L2)2 = ML24+ML24 = ML22
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Two masses each of mass M are attached to the end of a rigid massless rod of length L. The moment of inertia of the system about an axis passing centre of mass and  perpendicular to its length is