Q.

Three identical thin rods, each of mass m and length l, are joined to form an equilateral triangular frame. The moment of inertia of the frame about an axis parallel to its one side and passing through the opposite vertex is

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a

5ml22

b

5ml24

c

3ml22

d

5ml23

answer is B.

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Detailed Solution

About OO’IAC=IBC=ml23sin2600=ml24MI of the rod AB about OO’IAB=ml322=3ml24I=IAC+IBC+IAB=5ml24
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Three identical thin rods, each of mass m and length l, are joined to form an equilateral triangular frame. The moment of inertia of the frame about an axis parallel to its one side and passing through the opposite vertex is