Three identical spherical shells, each of mass \(m\) and radius \(r\) are placed as shown in fig....

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Three identical spherical shells, each of mass \(m\) and radius \(r\) are placed as shown in figure. Consider an axis \(X X^{\prime}\) 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 \(X X^{\prime}\) axis is:
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