AIPMT | 2015Rotational MotionHard

Question

Three identical spherical shells, each of mass m and radius r are placed as shown in figure. Consider an axis XX′ which is touching to two shells and passing through diameter of third shell.
Moment of inertia of the system consisting of these three spherical shells about XX′ axis is :-
    

Options

A.3 mr2
B. mr2
C.4 mr2
D. mr2

Solution


IXX′ = I1 + I2 + I3

(Using parallel axis theorem)
⇒ IXX′ = 2mr2 + 2mr2 = 4mr2
Hence option (3)

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