Find the ratio of radii of gyration about tangential axes in their planes for a uniform disc and a thin ring of equal mass and radius.
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Question

Find the ratio of radii of gyration about tangential axes in their planes for a uniform disc and a thin ring of equal mass and radius.

G1 Physics · Accepted Answer

Step 1: For the disc, I(tangent)=MR²/4+MR²=5MR²/4. Step 2: For the ring, I(tangent)=MR²/2+MR²=3MR²/2. Step 3: Radii ratio=√[(5/4)/(3/2)]=√5:√6. Final answer: C — √5:√6.