A circular disc of radius b has a hole of radius a at its centre (see figure). If the mass per unit area of the disc varies as $\left( {{{{\sigma _0}} \over r}} \right)$ , then the radius of gyration of the disc about its axis passing through the centre is:

Question

$\sqrt {{{{a^2} + {b^2} + ab} \over 2}} $

$\sqrt {{{a + b} \over 3}} $

$\sqrt {{{{a^2} + {b^2} + ab} \over 3}} $

$\sqrt {{{a + b} \over 2}} $

Solution

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