A lamina is made by removing a small disc of diameter 2R from a bigger disc of uniform mass density and radius 2R, as shown in the figure. The moment of inertia of this lamina about axes perpendicular to the plane of the lamina and passing through the points O and P is iq and ip respectively. If the ratio
, where m and n are the smallest integers, then what is the value of m + n?

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CHECK THE SOLUTION.
50


...(1)

...(2)
So 
m + n = 37 + 13 = 50
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