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
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