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Question

The moment of inertia of an elliptical disc of uniform mass distribution of mass 'm', semi major axis 'r', semi minor axis 'd' about its axis is
  1. =mr22
  2. =md22
  3. >mr22
  4. <mr22

A
=md22
B
>mr22
C
<mr22
D
=mr22
Solution
Verified by Toppr

we know that the moment of inertia of an circlar disc of uniform mass distribution of mass 'm', radius 'r' about its axis is mr22
Since, For an elliptical disc of uniform mass distribution of mass 'm', semi major axis 'r', mass distribution is closer to axis so its moment of inertia will be less than mr22.
Therefore, D is correct option.

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