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The ratio of the radii of gyration of a circular disc about a tangential axis in the plane of the disc and of a circular ring of the same radius about a tangential axis in the plane of the ring is
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- 1 : √2
- 1 : 3
- 2 : 1
- √5 : √6
Correct Option: D
Circular disc [1]
| Iy2 = | |
| 4 |
| ∴ I'y1 = | + MR² = | MR² | ||
| 4 | 4 |
Circular ring [2]
| ∴ I'y2 = | + MR² = | MR² | ||
| 2 | 2 |
I'y1 = MK1² , I'y2 = MK2²
| ∴ | = | ⇒ K1 : K2 = √5 : √6 | ||
| K2² | I'y2 |
