Rotational Motion Question 123

Question: Three identical thin rods, each of mass m and length , 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

Options:

A) 52m2

B) 54m2

C) 32m2

D) 53m2

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Answer:

Correct Answer: B

Solution:

[b] Moment of Inertia of each of rod AC and BC about the given axis OO’ is

IAC=IBC=m23sin260=m24

and M.I. of rod AB about the given axis OO’ is

IAB=m(32)2=34m2

Hence, I=IAC+IBC+IAB=m24+m24+34m2=54m2



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