Q.

A circular disc X of radius R  is made from an iron plate of thickness t , and another plate Y of radius 4R  is made from an iron plate of thickness t/4 . The ratio of moment of inertia IY/IX  is

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a

16

b

64

c

32

d

1

answer is D.

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Detailed Solution

Ix=12(mass)(radius)2

    =12[(πR2)t.ρ]R2

        IY=12[(π16R2)tρ4](4R)2=64Ix

Or   IyIx=64 .

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