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Four spheres each having mass m and radius r are placed with their centres on the four corners of a square of side a. Then the moment of inertia of the system about an axis along one of the sides of the square is :

a
85mr2
b
85mr2+ma2
c
85mr2+2ma2
d
45mr2+4ma2

detailed solution

Correct option is C

IAB=I1AB+I2AB+ISAB+I4AB=25mr2+25mr2+25mr2+ma2+25mr2+ma2=85mr2+2ma2

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Three point masses, each of m, are placed at the corners of an equilateral triangle of side l. Then the moment of inertia of this system about an axis along one side of the triangle is


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