Three identical spherical shells, each of mass m and radius r are placed as shown in the figure. Consider an axis XX' which is touching to two shells and passing through diameter to third shell. Moment of inertia of the system consisting of these three spherical shells about XX' axis is
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a
115mr2
b
165mr2
c
3 mr2
d
4 mr2
answer is D.
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Detailed Solution
I = IA+IB+IC= (23mr2+mr2)+(23mr2+mr2)+23mr2= 4 mr2