If a disc of mass m and radius r is reshaped into a ring of radius 2r, the mass remaining the same, the radius of gyration about centroidal axis perpendicular to plane goes up by a factor of
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a
2
b
2
c
22
d
4
answer is C.
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Detailed Solution
Radius of gyration of disc, KD=IDm=12mr2m=r2Radius of gyration of ring, KR=IRm=m(2r)2m=2r∴ KRKD=22
If a disc of mass m and radius r is reshaped into a ring of radius 2r, the mass remaining the same, the radius of gyration about centroidal axis perpendicular to plane goes up by a factor of