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Q.

A rod of mass M kg and length L m is bent in the form of an equilateral triangle as shown in Fig. The moment of inertia of the triangle about a vertical axis perpendicular to the plane of the triangle and passing through the centre O (in units of kg m2) is

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a

ML212

b

ML254

c

ML2162

d

ML2108

answer is B.

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Detailed Solution

Mass of each side = M3x = 13[L3cos 30°] = L323moment of inertia of one side about O:I = [112M3(L3)2+M3x2] = ML2162moment of inertia of whole triangle about O : 3I = ML254
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