Questions

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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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

Similar Questions

If two discs have same mass and thickness but their densities are ${\rho}_{1}$ and ${\rho}_{2}$ then the ratio of their moments of inertia about central axis will be [BCECE (Mains) 2012]

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