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The ratio of the radii of gyration of a circular disc about a tangential axis in the plane of the disc and of a circular ring of the same radius about a tangential axis in the plane of the ring is :

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a
2:1
b
5:6
c
2:3
d
1: 2

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detailed solution

Correct option is B

Idisc=MR24+M(R)2=54MR2and  Iring=MR22+MR2=32MR2⇒Kdisc=52R and Kring=32R⇒KdiscKring =56


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Two discs have mass ratio 1 : 2 and diameter ratio 2 : 1, then find the ratio of their moments of inertia.
 


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