Find the moment of inertia of a cylinder...

Find the moment of inertia of a cylinder of mass `M`, radius `R` and length `L` about an axis passing through its centre and perpendicular to its symmetry axis. Do this by integrating an elemental disc along the length of the cylinder.

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Moment of inertia of a ring of mass M and radius R about an axis passing through the centre and perpendicular to the plane is

`1//2MR^(2)`

`MR^(2)`

`1//4MR^(2)`

`3//4 MR^(2)`

The moment of inertia of a cylinder of radius R, length L and mass M about an axis passing through its centre of mass and normal to its length is

`(ML^(2))/(12)`

`(MR^(2))/(4)`

`M[(L^(2))/(12)+(R^(2))/(4)]`

`M[(L^(2))/(12)+(R^2)/(2)]`

Moment of inertia of a solid cylinder of length L and diameter D about an axis passing through its centre of gravity and perpendicular to its geometric axis is

`M((D^(2))/(4)+(L^(2))/(12))`

`M((L^(2))/(16)+(D^(2))/(8))`

`M((D^(2))/(4)+(L^(2))/(6))`

`M((L^(2))/(12)+(D^(2))/(16))`