First slide

Moment of intertia

Question

A hollow disc has inner radius r and outer radius 2r then its radius of gyration about its own geometrical axis is

Moderate

Solution

$I = \frac{1}{2} m [r^{2} + {(2 r)}^{2}] = \frac{5}{2} {mr}^{2}$
$∴ K = \sqrt{\frac{I}{m}} = \sqrt{\frac{5}{2}} r$

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