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What is the ratio of moment of inertia of a ring to a disc? Given that both have masses in the ratio 2:1 & radii in the ratio 1:2 respectively.(a) 1:1(b) 2:1(c) 1:2(d) 1:4The question was asked in an interview for internship.Asked question is from Moment of Inertia topic in section System of Particles and Rotational Motion of Physics – Class 11

Answer»

Right choice is (a) 1:1

For EXPLANATION I would SAY: Moment of INERTIA of ring = MR^2& moment of inertia of disc = MR^2/2.

Mass ratio = 2:1, Radii ratio = 1:2.

Thus ratio of moment of inertia = 2MrRr^2/MdRd^2

= (2*2*1)/(1*4)

= 1:1.



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