System of Particles and Rotational Motion - Result Question 60

63. Four identical thin rods each of mass M and length l, form a square frame. Moment of inertia of this frame about an axis through the centre of the square and perpendicular to its plane is :

(a) 23Ml2

(b) 133Ml2

(c) 13Ml2

(d) 43Ml2

[2009]

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Answer:

Correct Answer: 63. (d)

Solution:

  1. (d) Moment of inertia of a thin rod of length l about an axis passing through centre and perpendicular to the rod=112Ml2.

Thus moment of inertia of the frame.

ml212+ml24=4ml212=ml23

Total M.I. =4×ml23



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