Moments of inertia of a body about two perpendicular axes X and Y in the plane of the lamina are $20 \, \text{kg m}^2$ each, respectively. Its moment of inertia about an axis perpendicular to the plane of the lamina and passing through the point of intersection of the X and Y axes is:

Question

$5 \, \text{kg m}^2$

$45 \, \text{kg m}^2$

$12.5 \, \text{kg m}^2$

$500 \, \text{kg m}^2$

Solution

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