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Q.

A square is made by joining four rods each of mass M and length L. Its moment of inertia about an axis PQ, in its plane and passing through one of its corner is

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a

6ML2

b

43ML2

c

103ML2

d

83ML2

answer is D.

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Detailed Solution

Axis is parallel to the diagonal of the square. The moment of inertia of the square frame about the center perpendicular to the plane is 4ML212+ML24=4ML23 then about the diagonal 2ML23then moment of inertia about the given axis is 2ML23+4ML22= 8ML23
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A square is made by joining four rods each of mass M and length L. Its moment of inertia about an axis PQ, in its plane and passing through one of its corner is