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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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By Expert Faculty of Sri Chaitanya
a
2 : 1
b
1 : 1
c
1 : 2
d
2 : 3
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detailed solution

Correct option is A

Given, mass ratio of two discs,m1:m2=1:2, i.e. m1m2=12and  diameter ratio,  d1d2=21⇒r1r2=21∴  Ratio of their moments of inertia,I1I2=m1r122m2r222=m1m2⋅r1r22=12212=21∴ I1:I2=2:1


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If two discs have same mass and thickness but their densities are ρ1 and  ρ2 then the ratio of their moments of inertia about central axis will be [BCECE (Mains) 2012]

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