Question

The ratio of moments of inertia of two solid spheres of same mass but densities in the ratio 1:8 is

Moderate

Solution

M₁=M₂
$\frac{R_{1}^{3}}{R_{2}^{3}} = \frac{d_{2}}{d_{1}} = \frac{8}{1} R_{1} = 2 R_{2}$ $I_{sphere} = \frac{2}{5} {MR}^{2}$

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