Question

if a thin circular ring and thin flat circular disc of same masses have some moment of inertia about their respective diameters as axis then find the ratio of their radii??​

Answer 1

Moment of inertia of a thin circular ring about its diameter is, I1=m1R21

Moment of inertia of a flat circular disc about its diameter is I2=m2R222

Given that two objects having same moment of inertia i.e., I1=I2

⇒m1R21=m2R222

Given that m1=m2 hence R21=R222 ltbrlt ⇒R22R22=12 or R1R2=12–√

∴ Ratio of radii ,

Answer 2

Answer:

your answer is in the attachment