Q62 / 90 · JEE Main 2018 (08 Apr) · Physics

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:
Figure

  • Correct answer
    A
    1812MR2
  • B
    192 MR2
  • C
    552MR2
  • D
    732MR2

Solution

The motion of inertia of the system about O,

12MR2+6×12MR2+6×M×2R2

⇒   I1=72MR2+24MR2

The motion of inertia of the system about P, 

⇒   I1+7MD2

⇒    72MR2+24MR2+7M×3R2

⇒   1812MR2

Hence, the correct answer is option: 'A'.

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