Physics - Rotation Question with Solution | TestHub
For Q13-Q15, match each object of radius R with its centre-of-mass height from the ground and radius of gyration about the vertical axis through C.

Column 1: (I) solid hemisphere; (II) hemispherical shell; (III) half ring; (IV) half disc.
Column 2: (i) 5R/8; (ii) R/2; (iii) R - 4R/(3π); (iv) R - 2R/π.
Column 3: (P) R√(2/5); (Q) R√(2/3); (R) R/√2; (S) R/2.
Which of the following body has nearest centre of mass from C. What is its distance of centre of mass from ground and its radius of gviration about vertical line passing through C :-
Options:
Answer:
Solution:
The solid hemisphere has the nearest centre of mass: $5R/8$.
Its radius of gyration about the vertical symmetry axis is $R\sqrt{2/5}$. Thus (I, i, P).
