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Seven identical circular planar

Question:

Seven identical circular planar disks, each of mass $M$ and radius $R$ are welded symmetrically as shown. The moment of inertia of the arrangement about the axis normal to the plane and passing through the point $P$ is :

  1. $\frac{55}{2} \mathrm{MR}^{2}$

  2. $\frac{73}{2} \mathrm{MR}^{2}$

  3. $\frac{181}{2} \mathrm{MR}^{2}$

  4. $\frac{19}{2} \mathrm{MR}^{2}$


Correct Option: , 3

Solution:

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