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Question

Seven identical discs are arranged in a planar pattern so that they touch each other as shown in the figure. Each disc has mass $m$ and radius $R$. What is the moment of inertia of the system of seven discs about an axis passing through the center of the central disc and normal to the plane of all discs?

$ \frac{55 \, m R^2}{2} $

$ \frac{85 \, m R^2}{2} $

$ 27 \, m R^2 $

$ 100 \, m R^2 $

Solution

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