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Physics Question on Moment Of Inertia

ICMI _{ CM } is the moment of inertia of a circular disc about an axis (CM) passing through its center and perpendicular to the plane of disc IABI_{A B} is it's moment of inertia about an axis ABAB perpendicular to plane and parallel to axis CMCM at a distance 23R\frac{2}{3} R from center Where RR is the radius of the dise The ratio of IABI _{ AB } and ICMI _{ CM } is x:9x: 9 The value of xx is______
ICM is the moment of inertia of a circular disc about an axis CM passing through its center and perpendicular to the plane of disc.

Answer

The correct answer is 17.
Icm​=2mR2​
IAB​=2mR2​+m(32R​)2=1817​mR2
Icm​IAB​​=917​⇒x=17