Suppose there is a uniform circular disc of mass
and radius
shown in figure. The shaded regions are cut out from the disc. The moment of inertia of the remainder about the axis
of the disc is given by
. The value of
is
.

Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(109) The moment of inertia of the complete disc about axis A is
.
Each removed circular region has radius
and mass
.
For each removed disc at distance
from axis A, using the parallel axis theorem:
.
For two removed discs:
.
Therefore:
, so
.
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