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
32
b
16
c
1
d
64
answer is D.
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Detailed Solution
Ix=12(mass)(radius)2 =12[(π R2)t.ρ]R2 IY=12[(π 16 R2)t ρ4](4 R)2=64 Ix Or IyIx=64 .
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