Question

The moment of inertia of a ring and a disc of same mass about their diameters are same
ratio of their radii ?​

Answer 1

Answer:

For Ring along diameter,I=MR^2/2 ...

for Disc along diameter,I=MR^2/4...

Given that I of ring is equal to I of disc,

MR^2/2=MR^2/4..

R^2(of ring)/R^2(of disc)=1/2.

R(of ring)/R(of disc)=1/√2.

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Answer 2

Dear Student,

◆ Answer -

r1/r2 = 1/√2

● Explanation -

Given that moment of inertia of a ring and a disc are same.

MI1 = MI2

m1r1²/2 = m2r2²/4

Also masses of ring and disc are same.

mr1²/2 = mr2²/4

r1² = r2²/2

r1²/r2² = 1/2

r1/r2 = 1/√2

Hence, ratio of radii of ring and disc is r1:r2 = 1:√2.

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