Physics - Rotation Question with Solution | TestHub
PhysicsRotationMiscellaneousMedium3 minQB
PhysicsMediumsingle choice
Passage / Comprehension
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.
A body having maximum moment of inertia about vertical line passing through 'C', what is its distance of centre of mass from ground and its radius of gyration about vertical line passing through C .
Options:
Answer:
A
Solution:
About the vertical line through C, the hemispherical shell has the largest moment of inertia.
Its centre-of-mass height is $R/2$ and its radius of gyration is $R\sqrt{2/3}$. Thus (II, ii, Q).
Stream:JEESubject:PhysicsTopic:RotationSubtopic:Miscellaneous
⏱ 3mℹ️ Source: QB
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