For a thin uniform disc, find the ratio of its radius of gyration about the centre-normal axis to that about a diameter.
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Question

For a thin uniform disc, find the ratio of its radius of gyration about the centre-normal axis to that about a diameter.

G1 Physics · Accepted Answer

Step 1: For a uniform disc, I(center normal)=MR²/2 and I(diameter)=MR²/4. Step 2: Thus k₁/k₂=√[(MR²/2)/(MR²/4)]=√2. Final answer: A — √2:1.