Questions
If two circular discs A and B are of same mass but of radii rand 2r respectively, then the moment of inertia of A is [Kerala CEE 2015]
a
one-fourth that of B
b
twice that of B
c
four times that of B
d
same as that of B
detailed solution
Correct option is A
Given, radius of circular disc A,r1=rRadius of circular disc B,r2=2rFor disc A,IA=mr2 …(i)For disc B, IB=m(2r)2=4mr2 …(ii)On dividing Eq. (i) by Eq. (ii), we get∴ IAIB=mr24mr2⇒IAIB=14⇒IA=14IBSo, moment of inertia of A is one-fourth that of B.Talk to our academic expert!
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Two discs have mass ratio 1 : 2 and diameter ratio 2 : 1, then find the ratio of their moments of inertia.
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