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Moment of inertia of a RING is considered one of the most asked concept.
9 Questions around this concept.
Moment of inertia of a circular wire of mass M and radius R about its diameter is
The moment of inertia of a ring along its diameter is
Let I=Moment of inertia of a RING about an axis through its centre and perpendicular to its plane
To find out I Consider a ring of mass M, radius R and centre O.
Take an elementary portion of the ring of mass dm and length dx.
So, $d I=d m \cdot R^2$
And,
$
I=\int d I=\int d m * R^2=R^2 \int d m=M R^2
$
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