Question
Find the moment of inertia of ring of mass 'M' and radius R about an axis passing through the centre and perpendicular to its plane.
Solution
Let AB be the axis passing through the centre and perpendicular to the plane of the ring.
Consider an arbitrary line element of length dx at point P on the ring.
The moment of inertia of the line element dx of mass λdx about AB axis is,
dI =
To find the moment of inertia of the ring about AB axis, integrate over the entire ring
Consider an arbitrary line element of length dx at point P on the ring.
The moment of inertia of the line element dx of mass λdx about AB axis is,
dI =
To find the moment of inertia of the ring about AB axis, integrate over the entire ring
