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A solid disc has a mass of 10kg and radius 1m. Find its radius of gyration.(a) 1.414m(b) 0.707m(c) 1m(d) 1.732I got this question during an interview.My query is from Moment of Inertia in section System of Particles and Rotational Motion of Physics – Class 11

Answer»

The CORRECT OPTION is (b) 0.707m

To explain I WOULD say: Moment of inertia of disc = MR^2/2 = 10*1/2 = 5kgm^2.

Radius of gyration ‘k’ is given by the expression: I = Mk^2

∴ k = √(I/M)

= √(5/10) = 0.707m.



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